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Finding the Fourth Proportional to 1,030.79, 1,545.51 and 475.27

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Solution

The fourth proportional to 1,030.79, 1,545.51 and 475.27 is: 712.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.79 : 1,545.51 = 475.27 : x
  2. Step 2: Convert to fraction form
    1,030.79/1,545.51 = 475.27/x
  3. Step 3: Cross multiply
    1,030.79x = 1,545.51 × 475.27
  4. Step 4: Simplify right side
    1,030.79x = 734,534.54
  5. Step 5: Solve for x
    x = 734,534.54/1,030.79
  6. Step 6: Final answer
    x = 712.59

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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.