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Finding the Fourth Proportional to 1,002.14, 1,503.86 and 454.35

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Solution

The fourth proportional to 1,002.14, 1,503.86 and 454.35 is: 681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.14 : 1,503.86 = 454.35 : x
  2. Step 2: Convert to fraction form
    1,002.14/1,503.86 = 454.35/x
  3. Step 3: Cross multiply
    1,002.14x = 1,503.86 × 454.35
  4. Step 4: Simplify right side
    1,002.14x = 683,276.52
  5. Step 5: Solve for x
    x = 683,276.52/1,002.14
  6. Step 6: Final answer
    x = 681.82

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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.