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Finding the Fourth Proportional to 751.16, 1,122.78 and 652.88

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Solution

The fourth proportional to 751.16, 1,122.78 and 652.88 is: 975.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.16 : 1,122.78 = 652.88 : x
  2. Step 2: Convert to fraction form
    751.16/1,122.78 = 652.88/x
  3. Step 3: Cross multiply
    751.16x = 1,122.78 × 652.88
  4. Step 4: Simplify right side
    751.16x = 733,040.61
  5. Step 5: Solve for x
    x = 733,040.61/751.16
  6. Step 6: Final answer
    x = 975.88

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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.