Home / 1,565.93-2,349.45-733.74

Finding the Fourth Proportional to 1,565.93, 2,349.45 and 733.74

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Solution

The fourth proportional to 1,565.93, 2,349.45 and 733.74 is: 1,100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.93 : 2,349.45 = 733.74 : x
  2. Step 2: Convert to fraction form
    1,565.93/2,349.45 = 733.74/x
  3. Step 3: Cross multiply
    1,565.93x = 2,349.45 × 733.74
  4. Step 4: Simplify right side
    1,565.93x = 1,723,885.44
  5. Step 5: Solve for x
    x = 1,723,885.44/1,565.93
  6. Step 6: Final answer
    x = 1,100.87

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1.5x scale

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.