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Finding the Fourth Proportional to 1,030.18, 1,545.27 and 824.48

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Solution

The fourth proportional to 1,030.18, 1,545.27 and 824.48 is: 1,236.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.18 : 1,545.27 = 824.48 : x
  2. Step 2: Convert to fraction form
    1,030.18/1,545.27 = 824.48/x
  3. Step 3: Cross multiply
    1,030.18x = 1,545.27 × 824.48
  4. Step 4: Simplify right side
    1,030.18x = 1,274,044.21
  5. Step 5: Solve for x
    x = 1,274,044.21/1,030.18
  6. Step 6: Final answer
    x = 1,236.73

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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.