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Finding the Fourth Proportional to 836.63, 1,154.66 and 597.17

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Solution

The fourth proportional to 836.63, 1,154.66 and 597.17 is: 824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.63 : 1,154.66 = 597.17 : x
  2. Step 2: Convert to fraction form
    836.63/1,154.66 = 597.17/x
  3. Step 3: Cross multiply
    836.63x = 1,154.66 × 597.17
  4. Step 4: Simplify right side
    836.63x = 689,528.21
  5. Step 5: Solve for x
    x = 689,528.21/836.63
  6. Step 6: Final answer
    x = 824.17

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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.