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Finding the Fourth Proportional to 1,125.55, 1,689.14 and 395.74

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Solution

The fourth proportional to 1,125.55, 1,689.14 and 395.74 is: 593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.55 : 1,689.14 = 395.74 : x
  2. Step 2: Convert to fraction form
    1,125.55/1,689.14 = 395.74/x
  3. Step 3: Cross multiply
    1,125.55x = 1,689.14 × 395.74
  4. Step 4: Simplify right side
    1,125.55x = 668,460.26
  5. Step 5: Solve for x
    x = 668,460.26/1,125.55
  6. Step 6: Final answer
    x = 593.90

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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.