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Finding the Fourth Proportional to 876.24, 1,206.56 and 751.60

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Solution

The fourth proportional to 876.24, 1,206.56 and 751.60 is: 1,034.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.24 : 1,206.56 = 751.60 : x
  2. Step 2: Convert to fraction form
    876.24/1,206.56 = 751.60/x
  3. Step 3: Cross multiply
    876.24x = 1,206.56 × 751.60
  4. Step 4: Simplify right side
    876.24x = 906,850.50
  5. Step 5: Solve for x
    x = 906,850.50/876.24
  6. Step 6: Final answer
    x = 1,034.93

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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.