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Finding the Fourth Proportional to 1,256.60, 1,731.65 and 924.46

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Solution

The fourth proportional to 1,256.60, 1,731.65 and 924.46 is: 1,273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.60 : 1,731.65 = 924.46 : x
  2. Step 2: Convert to fraction form
    1,256.60/1,731.65 = 924.46/x
  3. Step 3: Cross multiply
    1,256.60x = 1,731.65 × 924.46
  4. Step 4: Simplify right side
    1,256.60x = 1,600,839.14
  5. Step 5: Solve for x
    x = 1,600,839.14/1,256.60
  6. Step 6: Final answer
    x = 1,273.94

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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.