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Finding the Fourth Proportional to 1,030.60, 1,545.90 and 261.10

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Solution

The fourth proportional to 1,030.60, 1,545.90 and 261.10 is: 391.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.60 : 1,545.90 = 261.10 : x
  2. Step 2: Convert to fraction form
    1,030.60/1,545.90 = 261.10/x
  3. Step 3: Cross multiply
    1,030.60x = 1,545.90 × 261.10
  4. Step 4: Simplify right side
    1,030.60x = 403,634.49
  5. Step 5: Solve for x
    x = 403,634.49/1,030.60
  6. Step 6: Final answer
    x = 391.65

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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.