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Finding the Fourth Proportional to 1,358.26, 2,037.04 and 525.14

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Solution

The fourth proportional to 1,358.26, 2,037.04 and 525.14 is: 787.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.26 : 2,037.04 = 525.14 : x
  2. Step 2: Convert to fraction form
    1,358.26/2,037.04 = 525.14/x
  3. Step 3: Cross multiply
    1,358.26x = 2,037.04 × 525.14
  4. Step 4: Simplify right side
    1,358.26x = 1,069,731.19
  5. Step 5: Solve for x
    x = 1,069,731.19/1,358.26
  6. Step 6: Final answer
    x = 787.57

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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.