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Finding the Fourth Proportional to 1,130.79, 1,560.55 and 633.44

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Solution

The fourth proportional to 1,130.79, 1,560.55 and 633.44 is: 874.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.79 : 1,560.55 = 633.44 : x
  2. Step 2: Convert to fraction form
    1,130.79/1,560.55 = 633.44/x
  3. Step 3: Cross multiply
    1,130.79x = 1,560.55 × 633.44
  4. Step 4: Simplify right side
    1,130.79x = 988,514.79
  5. Step 5: Solve for x
    x = 988,514.79/1,130.79
  6. Step 6: Final answer
    x = 874.18

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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.