Home / 1,074.29-1,609.02-933.66

Finding the Fourth Proportional to 1,074.29, 1,609.02 and 933.66

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Solution

The fourth proportional to 1,074.29, 1,609.02 and 933.66 is: 1,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.29 : 1,609.02 = 933.66 : x
  2. Step 2: Convert to fraction form
    1,074.29/1,609.02 = 933.66/x
  3. Step 3: Cross multiply
    1,074.29x = 1,609.02 × 933.66
  4. Step 4: Simplify right side
    1,074.29x = 1,502,277.61
  5. Step 5: Solve for x
    x = 1,502,277.61/1,074.29
  6. Step 6: Final answer
    x = 1,398.40

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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.