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Finding the Fourth Proportional to 1,358.78, 2,038.32 and 537.14

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Solution

The fourth proportional to 1,358.78, 2,038.32 and 537.14 is: 805.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.78 : 2,038.32 = 537.14 : x
  2. Step 2: Convert to fraction form
    1,358.78/2,038.32 = 537.14/x
  3. Step 3: Cross multiply
    1,358.78x = 2,038.32 × 537.14
  4. Step 4: Simplify right side
    1,358.78x = 1,094,863.20
  5. Step 5: Solve for x
    x = 1,094,863.20/1,358.78
  6. Step 6: Final answer
    x = 805.77

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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.