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Finding the Fourth Proportional to 1,223.50, 1,688.52 and 758.02

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Solution

The fourth proportional to 1,223.50, 1,688.52 and 758.02 is: 1,046.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.50 : 1,688.52 = 758.02 : x
  2. Step 2: Convert to fraction form
    1,223.50/1,688.52 = 758.02/x
  3. Step 3: Cross multiply
    1,223.50x = 1,688.52 × 758.02
  4. Step 4: Simplify right side
    1,223.50x = 1,279,931.93
  5. Step 5: Solve for x
    x = 1,279,931.93/1,223.50
  6. Step 6: Final answer
    x = 1,046.12

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