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Finding the Fourth Proportional to 775.84, 1,070.56 and 749.60

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Solution

The fourth proportional to 775.84, 1,070.56 and 749.60 is: 1,034.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.84 : 1,070.56 = 749.60 : x
  2. Step 2: Convert to fraction form
    775.84/1,070.56 = 749.60/x
  3. Step 3: Cross multiply
    775.84x = 1,070.56 × 749.60
  4. Step 4: Simplify right side
    775.84x = 802,491.78
  5. Step 5: Solve for x
    x = 802,491.78/775.84
  6. Step 6: Final answer
    x = 1,034.35

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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.