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Finding the Fourth Proportional to 760.72, 1,049.88 and 701.92

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Solution

The fourth proportional to 760.72, 1,049.88 and 701.92 is: 968.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.72 : 1,049.88 = 701.92 : x
  2. Step 2: Convert to fraction form
    760.72/1,049.88 = 701.92/x
  3. Step 3: Cross multiply
    760.72x = 1,049.88 × 701.92
  4. Step 4: Simplify right side
    760.72x = 736,931.77
  5. Step 5: Solve for x
    x = 736,931.77/760.72
  6. Step 6: Final answer
    x = 968.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.