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Finding the Fourth Proportional to 896.04, 1,236.55 and 497.71

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Solution

The fourth proportional to 896.04, 1,236.55 and 497.71 is: 686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.04 : 1,236.55 = 497.71 : x
  2. Step 2: Convert to fraction form
    896.04/1,236.55 = 497.71/x
  3. Step 3: Cross multiply
    896.04x = 1,236.55 × 497.71
  4. Step 4: Simplify right side
    896.04x = 615,443.60
  5. Step 5: Solve for x
    x = 615,443.60/896.04
  6. Step 6: Final answer
    x = 686.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.