Home / 1,534.27-2,301.63-560.14

Finding the Fourth Proportional to 1,534.27, 2,301.63 and 560.14

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Solution

The fourth proportional to 1,534.27, 2,301.63 and 560.14 is: 840.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.27 : 2,301.63 = 560.14 : x
  2. Step 2: Convert to fraction form
    1,534.27/2,301.63 = 560.14/x
  3. Step 3: Cross multiply
    1,534.27x = 2,301.63 × 560.14
  4. Step 4: Simplify right side
    1,534.27x = 1,289,235.03
  5. Step 5: Solve for x
    x = 1,289,235.03/1,534.27
  6. Step 6: Final answer
    x = 840.29

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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.