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Finding the Fourth Proportional to 1,053.32, 1,453.64 and 587.56

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Solution

The fourth proportional to 1,053.32, 1,453.64 and 587.56 is: 810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.32 : 1,453.64 = 587.56 : x
  2. Step 2: Convert to fraction form
    1,053.32/1,453.64 = 587.56/x
  3. Step 3: Cross multiply
    1,053.32x = 1,453.64 × 587.56
  4. Step 4: Simplify right side
    1,053.32x = 854,100.72
  5. Step 5: Solve for x
    x = 854,100.72/1,053.32
  6. Step 6: Final answer
    x = 810.87

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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.