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Finding the Fourth Proportional to 1,030.07, 1,545.35 and 380.81

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Solution

The fourth proportional to 1,030.07, 1,545.35 and 380.81 is: 571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.07 : 1,545.35 = 380.81 : x
  2. Step 2: Convert to fraction form
    1,030.07/1,545.35 = 380.81/x
  3. Step 3: Cross multiply
    1,030.07x = 1,545.35 × 380.81
  4. Step 4: Simplify right side
    1,030.07x = 588,475.10
  5. Step 5: Solve for x
    x = 588,475.10/1,030.07
  6. Step 6: Final answer
    x = 571.30

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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.