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Finding the Fourth Proportional to 1,030.14, 1,545.32 and 444.66

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Solution

The fourth proportional to 1,030.14, 1,545.32 and 444.66 is: 667.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.14 : 1,545.32 = 444.66 : x
  2. Step 2: Convert to fraction form
    1,030.14/1,545.32 = 444.66/x
  3. Step 3: Cross multiply
    1,030.14x = 1,545.32 × 444.66
  4. Step 4: Simplify right side
    1,030.14x = 687,141.99
  5. Step 5: Solve for x
    x = 687,141.99/1,030.14
  6. Step 6: Final answer
    x = 667.04

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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.