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Finding the Fourth Proportional to 1,053.88, 1,454.31 and 581.78

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Solution

The fourth proportional to 1,053.88, 1,454.31 and 581.78 is: 802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.88 : 1,454.31 = 581.78 : x
  2. Step 2: Convert to fraction form
    1,053.88/1,454.31 = 581.78/x
  3. Step 3: Cross multiply
    1,053.88x = 1,454.31 × 581.78
  4. Step 4: Simplify right side
    1,053.88x = 846,092.11
  5. Step 5: Solve for x
    x = 846,092.11/1,053.88
  6. Step 6: Final answer
    x = 802.84

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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.