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Finding the Fourth Proportional to 752.76, 1,038.74 and 416.64

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Solution

The fourth proportional to 752.76, 1,038.74 and 416.64 is: 574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.76 : 1,038.74 = 416.64 : x
  2. Step 2: Convert to fraction form
    752.76/1,038.74 = 416.64/x
  3. Step 3: Cross multiply
    752.76x = 1,038.74 × 416.64
  4. Step 4: Simplify right side
    752.76x = 432,780.63
  5. Step 5: Solve for x
    x = 432,780.63/752.76
  6. Step 6: Final answer
    x = 574.93

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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.