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Finding the Fourth Proportional to 752, 1,127.60 and 289.76

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Solution

The fourth proportional to 752, 1,127.60 and 289.76 is: 434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    752 : 1,127.60 = 289.76 : x
  2. Step 2: Convert to fraction form
    752/1,127.60 = 289.76/x
  3. Step 3: Cross multiply
    752x = 1,127.60 × 289.76
  4. Step 4: Simplify right side
    752x = 326,733.38
  5. Step 5: Solve for x
    x = 326,733.38/752
  6. Step 6: Final answer
    x = 434.49

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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.