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Finding the Fourth Proportional to 1,030.77, 1,545.84 and 381.42

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Solution

The fourth proportional to 1,030.77, 1,545.84 and 381.42 is: 572.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.77 : 1,545.84 = 381.42 : x
  2. Step 2: Convert to fraction form
    1,030.77/1,545.84 = 381.42/x
  3. Step 3: Cross multiply
    1,030.77x = 1,545.84 × 381.42
  4. Step 4: Simplify right side
    1,030.77x = 589,614.29
  5. Step 5: Solve for x
    x = 589,614.29/1,030.77
  6. Step 6: Final answer
    x = 572.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.