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Finding the Fourth Proportional to 788.56, 1,088.04 and 565.20

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Solution

The fourth proportional to 788.56, 1,088.04 and 565.20 is: 779.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.56 : 1,088.04 = 565.20 : x
  2. Step 2: Convert to fraction form
    788.56/1,088.04 = 565.20/x
  3. Step 3: Cross multiply
    788.56x = 1,088.04 × 565.20
  4. Step 4: Simplify right side
    788.56x = 614,960.21
  5. Step 5: Solve for x
    x = 614,960.21/788.56
  6. Step 6: Final answer
    x = 779.85

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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.