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Finding the Fourth Proportional to 1,025.18, 1,537.75 and 616.94

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Solution

The fourth proportional to 1,025.18, 1,537.75 and 616.94 is: 925.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.18 : 1,537.75 = 616.94 : x
  2. Step 2: Convert to fraction form
    1,025.18/1,537.75 = 616.94/x
  3. Step 3: Cross multiply
    1,025.18x = 1,537.75 × 616.94
  4. Step 4: Simplify right side
    1,025.18x = 948,699.49
  5. Step 5: Solve for x
    x = 948,699.49/1,025.18
  6. Step 6: Final answer
    x = 925.40

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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.