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Finding the Fourth Proportional to 1,573.32, 2,356.39 and 752.18

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Solution

The fourth proportional to 1,573.32, 2,356.39 and 752.18 is: 1,126.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.32 : 2,356.39 = 752.18 : x
  2. Step 2: Convert to fraction form
    1,573.32/2,356.39 = 752.18/x
  3. Step 3: Cross multiply
    1,573.32x = 2,356.39 × 752.18
  4. Step 4: Simplify right side
    1,573.32x = 1,772,429.43
  5. Step 5: Solve for x
    x = 1,772,429.43/1,573.32
  6. Step 6: Final answer
    x = 1,126.55

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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.