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Finding the Fourth Proportional to 1,053.54, 1,580.31 and 687.29

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Solution

The fourth proportional to 1,053.54, 1,580.31 and 687.29 is: 1,030.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.54 : 1,580.31 = 687.29 : x
  2. Step 2: Convert to fraction form
    1,053.54/1,580.31 = 687.29/x
  3. Step 3: Cross multiply
    1,053.54x = 1,580.31 × 687.29
  4. Step 4: Simplify right side
    1,053.54x = 1,086,123.36
  5. Step 5: Solve for x
    x = 1,086,123.36/1,053.54
  6. Step 6: Final answer
    x = 1,030.93

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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.