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Finding the Fourth Proportional to 1,053, 1,453.14 and 587.24

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Solution

The fourth proportional to 1,053, 1,453.14 and 587.24 is: 810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053 : 1,453.14 = 587.24 : x
  2. Step 2: Convert to fraction form
    1,053/1,453.14 = 587.24/x
  3. Step 3: Cross multiply
    1,053x = 1,453.14 × 587.24
  4. Step 4: Simplify right side
    1,053x = 853,341.93
  5. Step 5: Solve for x
    x = 853,341.93/1,053
  6. Step 6: Final answer
    x = 810.39

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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.