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Finding the Fourth Proportional to 836.01, 1,153.64 and 463.01

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Solution

The fourth proportional to 836.01, 1,153.64 and 463.01 is: 638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.01 : 1,153.64 = 463.01 : x
  2. Step 2: Convert to fraction form
    836.01/1,153.64 = 463.01/x
  3. Step 3: Cross multiply
    836.01x = 1,153.64 × 463.01
  4. Step 4: Simplify right side
    836.01x = 534,138.77
  5. Step 5: Solve for x
    x = 534,138.77/836.01
  6. Step 6: Final answer
    x = 638.91

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1.5x scale

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.