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Finding the Fourth Proportional to 752.40, 1,054.80 and 752.40

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Solution

The fourth proportional to 752.40, 1,054.80 and 752.40 is: 1,054.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.40 : 1,054.80 = 752.40 : x
  2. Step 2: Convert to fraction form
    752.40/1,054.80 = 752.40/x
  3. Step 3: Cross multiply
    752.40x = 1,054.80 × 752.40
  4. Step 4: Simplify right side
    752.40x = 793,631.52
  5. Step 5: Solve for x
    x = 793,631.52/752.40
  6. Step 6: Final answer
    x = 1,054.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.