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Finding the Fourth Proportional to 862.72, 1,293.12 and 429.76

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Solution

The fourth proportional to 862.72, 1,293.12 and 429.76 is: 644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.72 : 1,293.12 = 429.76 : x
  2. Step 2: Convert to fraction form
    862.72/1,293.12 = 429.76/x
  3. Step 3: Cross multiply
    862.72x = 1,293.12 × 429.76
  4. Step 4: Simplify right side
    862.72x = 555,731.25
  5. Step 5: Solve for x
    x = 555,731.25/862.72
  6. Step 6: Final answer
    x = 644.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.