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Finding the Fourth Proportional to 1,052.24, 1,577.88 and 565.16

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Solution

The fourth proportional to 1,052.24, 1,577.88 and 565.16 is: 847.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.24 : 1,577.88 = 565.16 : x
  2. Step 2: Convert to fraction form
    1,052.24/1,577.88 = 565.16/x
  3. Step 3: Cross multiply
    1,052.24x = 1,577.88 × 565.16
  4. Step 4: Simplify right side
    1,052.24x = 891,754.66
  5. Step 5: Solve for x
    x = 891,754.66/1,052.24
  6. Step 6: Final answer
    x = 847.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.