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Finding the Fourth Proportional to 837.17, 1,254.84 and 715.06

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Solution

The fourth proportional to 837.17, 1,254.84 and 715.06 is: 1,071.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.17 : 1,254.84 = 715.06 : x
  2. Step 2: Convert to fraction form
    837.17/1,254.84 = 715.06/x
  3. Step 3: Cross multiply
    837.17x = 1,254.84 × 715.06
  4. Step 4: Simplify right side
    837.17x = 897,280.07
  5. Step 5: Solve for x
    x = 897,280.07/837.17
  6. Step 6: Final answer
    x = 1,071.81

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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.