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Finding the Fourth Proportional to 1,002.98, 1,383.89 and 624.81

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Solution

The fourth proportional to 1,002.98, 1,383.89 and 624.81 is: 862.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.98 : 1,383.89 = 624.81 : x
  2. Step 2: Convert to fraction form
    1,002.98/1,383.89 = 624.81/x
  3. Step 3: Cross multiply
    1,002.98x = 1,383.89 × 624.81
  4. Step 4: Simplify right side
    1,002.98x = 864,670.38
  5. Step 5: Solve for x
    x = 864,670.38/1,002.98
  6. Step 6: Final answer
    x = 862.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.