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Finding the Fourth Proportional to 836.57, 1,154.47 and 463.53

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Solution

The fourth proportional to 836.57, 1,154.47 and 463.53 is: 639.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.57 : 1,154.47 = 463.53 : x
  2. Step 2: Convert to fraction form
    836.57/1,154.47 = 463.53/x
  3. Step 3: Cross multiply
    836.57x = 1,154.47 × 463.53
  4. Step 4: Simplify right side
    836.57x = 535,131.48
  5. Step 5: Solve for x
    x = 535,131.48/836.57
  6. Step 6: Final answer
    x = 639.67

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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.