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Finding the Fourth Proportional to 837.68, 1,154.58 and 640.76

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Solution

The fourth proportional to 837.68, 1,154.58 and 640.76 is: 883.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.68 : 1,154.58 = 640.76 : x
  2. Step 2: Convert to fraction form
    837.68/1,154.58 = 640.76/x
  3. Step 3: Cross multiply
    837.68x = 1,154.58 × 640.76
  4. Step 4: Simplify right side
    837.68x = 739,808.68
  5. Step 5: Solve for x
    x = 739,808.68/837.68
  6. Step 6: Final answer
    x = 883.16

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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.