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Finding the Fourth Proportional to 693.60, 1,038.33 and 519.90

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Solution

The fourth proportional to 693.60, 1,038.33 and 519.90 is: 778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.60 : 1,038.33 = 519.90 : x
  2. Step 2: Convert to fraction form
    693.60/1,038.33 = 519.90/x
  3. Step 3: Cross multiply
    693.60x = 1,038.33 × 519.90
  4. Step 4: Simplify right side
    693.60x = 539,827.77
  5. Step 5: Solve for x
    x = 539,827.77/693.60
  6. Step 6: Final answer
    x = 778.30

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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.