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Finding the Fourth Proportional to 752.58, 1,038.48 and 442.08

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Solution

The fourth proportional to 752.58, 1,038.48 and 442.08 is: 610.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.58 : 1,038.48 = 442.08 : x
  2. Step 2: Convert to fraction form
    752.58/1,038.48 = 442.08/x
  3. Step 3: Cross multiply
    752.58x = 1,038.48 × 442.08
  4. Step 4: Simplify right side
    752.58x = 459,091.24
  5. Step 5: Solve for x
    x = 459,091.24/752.58
  6. Step 6: Final answer
    x = 610.02

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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.