Home / 1,053.12-1,580.84-566.04

Finding the Fourth Proportional to 1,053.12, 1,580.84 and 566.04

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Solution

The fourth proportional to 1,053.12, 1,580.84 and 566.04 is: 849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.12 : 1,580.84 = 566.04 : x
  2. Step 2: Convert to fraction form
    1,053.12/1,580.84 = 566.04/x
  3. Step 3: Cross multiply
    1,053.12x = 1,580.84 × 566.04
  4. Step 4: Simplify right side
    1,053.12x = 894,818.67
  5. Step 5: Solve for x
    x = 894,818.67/1,053.12
  6. Step 6: Final answer
    x = 849.68

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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.