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Finding the Fourth Proportional to 760, 1,049.52 and 732.64

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Solution

The fourth proportional to 760, 1,049.52 and 732.64 is: 1,011.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    760 : 1,049.52 = 732.64 : x
  2. Step 2: Convert to fraction form
    760/1,049.52 = 732.64/x
  3. Step 3: Cross multiply
    760x = 1,049.52 × 732.64
  4. Step 4: Simplify right side
    760x = 768,920.33
  5. Step 5: Solve for x
    x = 768,920.33/760
  6. Step 6: Final answer
    x = 1,011.74

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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.