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Finding the Fourth Proportional to 693.15, 1,037.70 and 462.30

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Solution

The fourth proportional to 693.15, 1,037.70 and 462.30 is: 692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.15 : 1,037.70 = 462.30 : x
  2. Step 2: Convert to fraction form
    693.15/1,037.70 = 462.30/x
  3. Step 3: Cross multiply
    693.15x = 1,037.70 × 462.30
  4. Step 4: Simplify right side
    693.15x = 479,728.71
  5. Step 5: Solve for x
    x = 479,728.71/693.15
  6. Step 6: Final answer
    x = 692.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.