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Finding the Fourth Proportional to 1,041.26, 1,562.49 and 630.59

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Solution

The fourth proportional to 1,041.26, 1,562.49 and 630.59 is: 946.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.26 : 1,562.49 = 630.59 : x
  2. Step 2: Convert to fraction form
    1,041.26/1,562.49 = 630.59/x
  3. Step 3: Cross multiply
    1,041.26x = 1,562.49 × 630.59
  4. Step 4: Simplify right side
    1,041.26x = 985,282.76
  5. Step 5: Solve for x
    x = 985,282.76/1,041.26
  6. Step 6: Final answer
    x = 946.25

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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.