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Finding the Fourth Proportional to 760.98, 1,135.68 and 718.32

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Solution

The fourth proportional to 760.98, 1,135.68 and 718.32 is: 1,072.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.98 : 1,135.68 = 718.32 : x
  2. Step 2: Convert to fraction form
    760.98/1,135.68 = 718.32/x
  3. Step 3: Cross multiply
    760.98x = 1,135.68 × 718.32
  4. Step 4: Simplify right side
    760.98x = 815,781.66
  5. Step 5: Solve for x
    x = 815,781.66/760.98
  6. Step 6: Final answer
    x = 1,072.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.