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Finding the Fourth Proportional to 809.85, 1,117.77 and 530.13

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Solution

The fourth proportional to 809.85, 1,117.77 and 530.13 is: 731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.85 : 1,117.77 = 530.13 : x
  2. Step 2: Convert to fraction form
    809.85/1,117.77 = 530.13/x
  3. Step 3: Cross multiply
    809.85x = 1,117.77 × 530.13
  4. Step 4: Simplify right side
    809.85x = 592,563.41
  5. Step 5: Solve for x
    x = 592,563.41/809.85
  6. Step 6: Final answer
    x = 731.70

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