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Finding the Fourth Proportional to 1,032.48, 1,548.36 and 569.16

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Solution

The fourth proportional to 1,032.48, 1,548.36 and 569.16 is: 853.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.48 : 1,548.36 = 569.16 : x
  2. Step 2: Convert to fraction form
    1,032.48/1,548.36 = 569.16/x
  3. Step 3: Cross multiply
    1,032.48x = 1,548.36 × 569.16
  4. Step 4: Simplify right side
    1,032.48x = 881,264.58
  5. Step 5: Solve for x
    x = 881,264.58/1,032.48
  6. Step 6: Final answer
    x = 853.54

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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.