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Finding the Fourth Proportional to 1,073.37, 1,610.68 and 579.78

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Solution

The fourth proportional to 1,073.37, 1,610.68 and 579.78 is: 870.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.37 : 1,610.68 = 579.78 : x
  2. Step 2: Convert to fraction form
    1,073.37/1,610.68 = 579.78/x
  3. Step 3: Cross multiply
    1,073.37x = 1,610.68 × 579.78
  4. Step 4: Simplify right side
    1,073.37x = 933,838.60
  5. Step 5: Solve for x
    x = 933,838.60/1,073.37
  6. Step 6: Final answer
    x = 870.01

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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.