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Finding the Fourth Proportional to 1,062.87, 1,595.85 and 601.58

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Solution

The fourth proportional to 1,062.87, 1,595.85 and 601.58 is: 903.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.87 : 1,595.85 = 601.58 : x
  2. Step 2: Convert to fraction form
    1,062.87/1,595.85 = 601.58/x
  3. Step 3: Cross multiply
    1,062.87x = 1,595.85 × 601.58
  4. Step 4: Simplify right side
    1,062.87x = 960,027.58
  5. Step 5: Solve for x
    x = 960,027.58/1,062.87
  6. Step 6: Final answer
    x = 903.24

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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.