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Finding the Fourth Proportional to 760.53, 1,049.31 and 512.13

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Solution

The fourth proportional to 760.53, 1,049.31 and 512.13 is: 706.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.53 : 1,049.31 = 512.13 : x
  2. Step 2: Convert to fraction form
    760.53/1,049.31 = 512.13/x
  3. Step 3: Cross multiply
    760.53x = 1,049.31 × 512.13
  4. Step 4: Simplify right side
    760.53x = 537,383.13
  5. Step 5: Solve for x
    x = 537,383.13/760.53
  6. Step 6: Final answer
    x = 706.59

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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.