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Finding the Fourth Proportional to 1,130.23, 1,559.23 and 658.09

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Solution

The fourth proportional to 1,130.23, 1,559.23 and 658.09 is: 907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.23 : 1,559.23 = 658.09 : x
  2. Step 2: Convert to fraction form
    1,130.23/1,559.23 = 658.09/x
  3. Step 3: Cross multiply
    1,130.23x = 1,559.23 × 658.09
  4. Step 4: Simplify right side
    1,130.23x = 1,026,113.67
  5. Step 5: Solve for x
    x = 1,026,113.67/1,130.23
  6. Step 6: Final answer
    x = 907.88

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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.