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Finding the Fourth Proportional to 1,357.97, 2,037.76 and 578.13

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Solution

The fourth proportional to 1,357.97, 2,037.76 and 578.13 is: 867.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.97 : 2,037.76 = 578.13 : x
  2. Step 2: Convert to fraction form
    1,357.97/2,037.76 = 578.13/x
  3. Step 3: Cross multiply
    1,357.97x = 2,037.76 × 578.13
  4. Step 4: Simplify right side
    1,357.97x = 1,178,087.30
  5. Step 5: Solve for x
    x = 1,178,087.30/1,357.97
  6. Step 6: Final answer
    x = 867.54

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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.