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Finding the Fourth Proportional to 1,030.58, 1,545.85 and 250.57

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Solution

The fourth proportional to 1,030.58, 1,545.85 and 250.57 is: 375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.58 : 1,545.85 = 250.57 : x
  2. Step 2: Convert to fraction form
    1,030.58/1,545.85 = 250.57/x
  3. Step 3: Cross multiply
    1,030.58x = 1,545.85 × 250.57
  4. Step 4: Simplify right side
    1,030.58x = 387,339.14
  5. Step 5: Solve for x
    x = 387,339.14/1,030.58
  6. Step 6: Final answer
    x = 375.85

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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.