Home / 1,037.95-1,432.33-565.83

Finding the Fourth Proportional to 1,037.95, 1,432.33 and 565.83

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Solution

The fourth proportional to 1,037.95, 1,432.33 and 565.83 is: 780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.95 : 1,432.33 = 565.83 : x
  2. Step 2: Convert to fraction form
    1,037.95/1,432.33 = 565.83/x
  3. Step 3: Cross multiply
    1,037.95x = 1,432.33 × 565.83
  4. Step 4: Simplify right side
    1,037.95x = 810,452.45
  5. Step 5: Solve for x
    x = 810,452.45/1,037.95
  6. Step 6: Final answer
    x = 780.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.