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Finding the Fourth Proportional to 752.32, 1,036.02 and 519.04

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Solution

The fourth proportional to 752.32, 1,036.02 and 519.04 is: 714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.32 : 1,036.02 = 519.04 : x
  2. Step 2: Convert to fraction form
    752.32/1,036.02 = 519.04/x
  3. Step 3: Cross multiply
    752.32x = 1,036.02 × 519.04
  4. Step 4: Simplify right side
    752.32x = 537,735.82
  5. Step 5: Solve for x
    x = 537,735.82/752.32
  6. Step 6: Final answer
    x = 714.77

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1.5x scale

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.