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Finding the Fourth Proportional to 1,130.04, 1,558.68 and 961.56

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Solution

The fourth proportional to 1,130.04, 1,558.68 and 961.56 is: 1,326.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.04 : 1,558.68 = 961.56 : x
  2. Step 2: Convert to fraction form
    1,130.04/1,558.68 = 961.56/x
  3. Step 3: Cross multiply
    1,130.04x = 1,558.68 × 961.56
  4. Step 4: Simplify right side
    1,130.04x = 1,498,764.34
  5. Step 5: Solve for x
    x = 1,498,764.34/1,130.04
  6. Step 6: Final answer
    x = 1,326.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.