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Finding the Fourth Proportional to 1,002.96, 1,497.96 and 840.78

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Solution

The fourth proportional to 1,002.96, 1,497.96 and 840.78 is: 1,255.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.96 : 1,497.96 = 840.78 : x
  2. Step 2: Convert to fraction form
    1,002.96/1,497.96 = 840.78/x
  3. Step 3: Cross multiply
    1,002.96x = 1,497.96 × 840.78
  4. Step 4: Simplify right side
    1,002.96x = 1,259,454.81
  5. Step 5: Solve for x
    x = 1,259,454.81/1,002.96
  6. Step 6: Final answer
    x = 1,255.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.