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Finding the Fourth Proportional to 747.00, 1,030.82 and 423.64

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Solution

The fourth proportional to 747.00, 1,030.82 and 423.64 is: 584.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.00 : 1,030.82 = 423.64 : x
  2. Step 2: Convert to fraction form
    747.00/1,030.82 = 423.64/x
  3. Step 3: Cross multiply
    747.00x = 1,030.82 × 423.64
  4. Step 4: Simplify right side
    747.00x = 436,693.53
  5. Step 5: Solve for x
    x = 436,693.53/747.00
  6. Step 6: Final answer
    x = 584.59

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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.