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Finding the Fourth Proportional to 817.23, 1,127.49 and 463.11

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Solution

The fourth proportional to 817.23, 1,127.49 and 463.11 is: 638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.23 : 1,127.49 = 463.11 : x
  2. Step 2: Convert to fraction form
    817.23/1,127.49 = 463.11/x
  3. Step 3: Cross multiply
    817.23x = 1,127.49 × 463.11
  4. Step 4: Simplify right side
    817.23x = 522,151.89
  5. Step 5: Solve for x
    x = 522,151.89/817.23
  6. Step 6: Final answer
    x = 638.93

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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.