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Finding the Fourth Proportional to 809.91, 1,118.04 and 530.16

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Solution

The fourth proportional to 809.91, 1,118.04 and 530.16 is: 731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.91 : 1,118.04 = 530.16 : x
  2. Step 2: Convert to fraction form
    809.91/1,118.04 = 530.16/x
  3. Step 3: Cross multiply
    809.91x = 1,118.04 × 530.16
  4. Step 4: Simplify right side
    809.91x = 592,734.50
  5. Step 5: Solve for x
    x = 592,734.50/809.91
  6. Step 6: Final answer
    x = 731.85

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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.