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Finding the Fourth Proportional to 912.99, 1,259.42 and 617.75

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Solution

The fourth proportional to 912.99, 1,259.42 and 617.75 is: 852.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.99 : 1,259.42 = 617.75 : x
  2. Step 2: Convert to fraction form
    912.99/1,259.42 = 617.75/x
  3. Step 3: Cross multiply
    912.99x = 1,259.42 × 617.75
  4. Step 4: Simplify right side
    912.99x = 778,006.71
  5. Step 5: Solve for x
    x = 778,006.71/912.99
  6. Step 6: Final answer
    x = 852.15

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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.