Home / 1,412.07-2,117.44-534.74

Finding the Fourth Proportional to 1,412.07, 2,117.44 and 534.74

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Solution

The fourth proportional to 1,412.07, 2,117.44 and 534.74 is: 801.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.07 : 2,117.44 = 534.74 : x
  2. Step 2: Convert to fraction form
    1,412.07/2,117.44 = 534.74/x
  3. Step 3: Cross multiply
    1,412.07x = 2,117.44 × 534.74
  4. Step 4: Simplify right side
    1,412.07x = 1,132,269.95
  5. Step 5: Solve for x
    x = 1,132,269.95/1,412.07
  6. Step 6: Final answer
    x = 801.85

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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.