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Finding the Fourth Proportional to 877.76, 1,314.64 and 752.96

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Solution

The fourth proportional to 877.76, 1,314.64 and 752.96 is: 1,127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.76 : 1,314.64 = 752.96 : x
  2. Step 2: Convert to fraction form
    877.76/1,314.64 = 752.96/x
  3. Step 3: Cross multiply
    877.76x = 1,314.64 × 752.96
  4. Step 4: Simplify right side
    877.76x = 989,871.33
  5. Step 5: Solve for x
    x = 989,871.33/877.76
  6. Step 6: Final answer
    x = 1,127.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.