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Finding the Fourth Proportional to 809.49, 1,117.61 and 560.72

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Solution

The fourth proportional to 809.49, 1,117.61 and 560.72 is: 774.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.49 : 1,117.61 = 560.72 : x
  2. Step 2: Convert to fraction form
    809.49/1,117.61 = 560.72/x
  3. Step 3: Cross multiply
    809.49x = 1,117.61 × 560.72
  4. Step 4: Simplify right side
    809.49x = 626,660.68
  5. Step 5: Solve for x
    x = 626,660.68/809.49
  6. Step 6: Final answer
    x = 774.14

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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.