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Finding the Fourth Proportional to 1,002.10, 1,503.66 and 417.56

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Solution

The fourth proportional to 1,002.10, 1,503.66 and 417.56 is: 626.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.10 : 1,503.66 = 417.56 : x
  2. Step 2: Convert to fraction form
    1,002.10/1,503.66 = 417.56/x
  3. Step 3: Cross multiply
    1,002.10x = 1,503.66 × 417.56
  4. Step 4: Simplify right side
    1,002.10x = 627,868.27
  5. Step 5: Solve for x
    x = 627,868.27/1,002.10
  6. Step 6: Final answer
    x = 626.55

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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.