Home / 1,053.14-1,580.04-614.30

Finding the Fourth Proportional to 1,053.14, 1,580.04 and 614.30

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Solution

The fourth proportional to 1,053.14, 1,580.04 and 614.30 is: 921.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.14 : 1,580.04 = 614.30 : x
  2. Step 2: Convert to fraction form
    1,053.14/1,580.04 = 614.30/x
  3. Step 3: Cross multiply
    1,053.14x = 1,580.04 × 614.30
  4. Step 4: Simplify right side
    1,053.14x = 970,610.67
  5. Step 5: Solve for x
    x = 970,610.67/1,053.14
  6. Step 6: Final answer
    x = 921.64

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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.