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Finding the Fourth Proportional to 1,025.60, 1,538.08 and 592.96

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Solution

The fourth proportional to 1,025.60, 1,538.08 and 592.96 is: 889.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.60 : 1,538.08 = 592.96 : x
  2. Step 2: Convert to fraction form
    1,025.60/1,538.08 = 592.96/x
  3. Step 3: Cross multiply
    1,025.60x = 1,538.08 × 592.96
  4. Step 4: Simplify right side
    1,025.60x = 912,019.92
  5. Step 5: Solve for x
    x = 912,019.92/1,025.60
  6. Step 6: Final answer
    x = 889.25

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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.