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Finding the Fourth Proportional to 1,242.02, 1,715.51 and 928.68

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Solution

The fourth proportional to 1,242.02, 1,715.51 and 928.68 is: 1,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.02 : 1,715.51 = 928.68 : x
  2. Step 2: Convert to fraction form
    1,242.02/1,715.51 = 928.68/x
  3. Step 3: Cross multiply
    1,242.02x = 1,715.51 × 928.68
  4. Step 4: Simplify right side
    1,242.02x = 1,593,146.61
  5. Step 5: Solve for x
    x = 1,593,146.61/1,242.02
  6. Step 6: Final answer
    x = 1,282.71

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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.