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Finding the Fourth Proportional to 1,053.75, 1,579.71 and 566.23

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Solution

The fourth proportional to 1,053.75, 1,579.71 and 566.23 is: 848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.75 : 1,579.71 = 566.23 : x
  2. Step 2: Convert to fraction form
    1,053.75/1,579.71 = 566.23/x
  3. Step 3: Cross multiply
    1,053.75x = 1,579.71 × 566.23
  4. Step 4: Simplify right side
    1,053.75x = 894,479.19
  5. Step 5: Solve for x
    x = 894,479.19/1,053.75
  6. Step 6: Final answer
    x = 848.85

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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.