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Finding the Fourth Proportional to 1,032.62, 1,546.28 and 569.88

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Solution

The fourth proportional to 1,032.62, 1,546.28 and 569.88 is: 853.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.62 : 1,546.28 = 569.88 : x
  2. Step 2: Convert to fraction form
    1,032.62/1,546.28 = 569.88/x
  3. Step 3: Cross multiply
    1,032.62x = 1,546.28 × 569.88
  4. Step 4: Simplify right side
    1,032.62x = 881,199.13
  5. Step 5: Solve for x
    x = 881,199.13/1,032.62
  6. Step 6: Final answer
    x = 853.36

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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.