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Finding the Fourth Proportional to 1,053.58, 1,577.13 and 687.58

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Solution

The fourth proportional to 1,053.58, 1,577.13 and 687.58 is: 1,029.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.58 : 1,577.13 = 687.58 : x
  2. Step 2: Convert to fraction form
    1,053.58/1,577.13 = 687.58/x
  3. Step 3: Cross multiply
    1,053.58x = 1,577.13 × 687.58
  4. Step 4: Simplify right side
    1,053.58x = 1,084,403.05
  5. Step 5: Solve for x
    x = 1,084,403.05/1,053.58
  6. Step 6: Final answer
    x = 1,029.26

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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.