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Finding the Fourth Proportional to 693.06, 1,037.98 and 345.32

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Solution

The fourth proportional to 693.06, 1,037.98 and 345.32 is: 517.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.06 : 1,037.98 = 345.32 : x
  2. Step 2: Convert to fraction form
    693.06/1,037.98 = 345.32/x
  3. Step 3: Cross multiply
    693.06x = 1,037.98 × 345.32
  4. Step 4: Simplify right side
    693.06x = 358,428.34
  5. Step 5: Solve for x
    x = 358,428.34/693.06
  6. Step 6: Final answer
    x = 517.17

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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.