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Finding the Fourth Proportional to 1,002.33, 1,503.21 and 425.07

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Solution

The fourth proportional to 1,002.33, 1,503.21 and 425.07 is: 637.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.33 : 1,503.21 = 425.07 : x
  2. Step 2: Convert to fraction form
    1,002.33/1,503.21 = 425.07/x
  3. Step 3: Cross multiply
    1,002.33x = 1,503.21 × 425.07
  4. Step 4: Simplify right side
    1,002.33x = 638,969.47
  5. Step 5: Solve for x
    x = 638,969.47/1,002.33
  6. Step 6: Final answer
    x = 637.48

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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.