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Finding the Fourth Proportional to 754.95, 1,041.09 and 589.10

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Solution

The fourth proportional to 754.95, 1,041.09 and 589.10 is: 812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.95 : 1,041.09 = 589.10 : x
  2. Step 2: Convert to fraction form
    754.95/1,041.09 = 589.10/x
  3. Step 3: Cross multiply
    754.95x = 1,041.09 × 589.10
  4. Step 4: Simplify right side
    754.95x = 613,302.61
  5. Step 5: Solve for x
    x = 613,302.61/754.95
  6. Step 6: Final answer
    x = 812.38

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.