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Finding the Fourth Proportional to 1,569.48, 2,352.58 and 529.12

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Solution

The fourth proportional to 1,569.48, 2,352.58 and 529.12 is: 793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.48 : 2,352.58 = 529.12 : x
  2. Step 2: Convert to fraction form
    1,569.48/2,352.58 = 529.12/x
  3. Step 3: Cross multiply
    1,569.48x = 2,352.58 × 529.12
  4. Step 4: Simplify right side
    1,569.48x = 1,244,801.69
  5. Step 5: Solve for x
    x = 1,244,801.69/1,569.48
  6. Step 6: Final answer
    x = 793.13

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