Home / 1,053.64-1,580.70-566.56

Finding the Fourth Proportional to 1,053.64, 1,580.70 and 566.56

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Solution

The fourth proportional to 1,053.64, 1,580.70 and 566.56 is: 849.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.64 : 1,580.70 = 566.56 : x
  2. Step 2: Convert to fraction form
    1,053.64/1,580.70 = 566.56/x
  3. Step 3: Cross multiply
    1,053.64x = 1,580.70 × 566.56
  4. Step 4: Simplify right side
    1,053.64x = 895,561.39
  5. Step 5: Solve for x
    x = 895,561.39/1,053.64
  6. Step 6: Final answer
    x = 849.97

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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.