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Finding the Fourth Proportional to 1,125.04, 1,689.12 and 577.60

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Solution

The fourth proportional to 1,125.04, 1,689.12 and 577.60 is: 867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.04 : 1,689.12 = 577.60 : x
  2. Step 2: Convert to fraction form
    1,125.04/1,689.12 = 577.60/x
  3. Step 3: Cross multiply
    1,125.04x = 1,689.12 × 577.60
  4. Step 4: Simplify right side
    1,125.04x = 975,635.71
  5. Step 5: Solve for x
    x = 975,635.71/1,125.04
  6. Step 6: Final answer
    x = 867.20

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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.