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Finding the Fourth Proportional to 1,009.83, 1,515.65 and 425.26

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Solution

The fourth proportional to 1,009.83, 1,515.65 and 425.26 is: 638.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.83 : 1,515.65 = 425.26 : x
  2. Step 2: Convert to fraction form
    1,009.83/1,515.65 = 425.26/x
  3. Step 3: Cross multiply
    1,009.83x = 1,515.65 × 425.26
  4. Step 4: Simplify right side
    1,009.83x = 644,535.61
  5. Step 5: Solve for x
    x = 644,535.61/1,009.83
  6. Step 6: Final answer
    x = 638.26

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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.