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Finding the Fourth Proportional to 760.96, 1,049.04 and 512.16

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Solution

The fourth proportional to 760.96, 1,049.04 and 512.16 is: 706.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.96 : 1,049.04 = 512.16 : x
  2. Step 2: Convert to fraction form
    760.96/1,049.04 = 512.16/x
  3. Step 3: Cross multiply
    760.96x = 1,049.04 × 512.16
  4. Step 4: Simplify right side
    760.96x = 537,276.33
  5. Step 5: Solve for x
    x = 537,276.33/760.96
  6. Step 6: Final answer
    x = 706.05

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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.