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Finding the Fourth Proportional to 1,053.82, 1,580.74 and 690.91

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Solution

The fourth proportional to 1,053.82, 1,580.74 and 690.91 is: 1,036.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.82 : 1,580.74 = 690.91 : x
  2. Step 2: Convert to fraction form
    1,053.82/1,580.74 = 690.91/x
  3. Step 3: Cross multiply
    1,053.82x = 1,580.74 × 690.91
  4. Step 4: Simplify right side
    1,053.82x = 1,092,141.17
  5. Step 5: Solve for x
    x = 1,092,141.17/1,053.82
  6. Step 6: Final answer
    x = 1,036.36

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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.