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Finding the Fourth Proportional to 883.81, 1,219.95 and 589.17

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Solution

The fourth proportional to 883.81, 1,219.95 and 589.17 is: 813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.81 : 1,219.95 = 589.17 : x
  2. Step 2: Convert to fraction form
    883.81/1,219.95 = 589.17/x
  3. Step 3: Cross multiply
    883.81x = 1,219.95 × 589.17
  4. Step 4: Simplify right side
    883.81x = 718,755.00
  5. Step 5: Solve for x
    x = 718,755.00/883.81
  6. Step 6: Final answer
    x = 813.25

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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.