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Finding the Fourth Proportional to 1,053.52, 1,453.82 and 587.76

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Solution

The fourth proportional to 1,053.52, 1,453.82 and 587.76 is: 811.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.52 : 1,453.82 = 587.76 : x
  2. Step 2: Convert to fraction form
    1,053.52/1,453.82 = 587.76/x
  3. Step 3: Cross multiply
    1,053.52x = 1,453.82 × 587.76
  4. Step 4: Simplify right side
    1,053.52x = 854,497.24
  5. Step 5: Solve for x
    x = 854,497.24/1,053.52
  6. Step 6: Final answer
    x = 811.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.