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Finding the Fourth Proportional to 1,114.48, 1,670.68 and 749.40

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Solution

The fourth proportional to 1,114.48, 1,670.68 and 749.40 is: 1,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.48 : 1,670.68 = 749.40 : x
  2. Step 2: Convert to fraction form
    1,114.48/1,670.68 = 749.40/x
  3. Step 3: Cross multiply
    1,114.48x = 1,670.68 × 749.40
  4. Step 4: Simplify right side
    1,114.48x = 1,252,007.59
  5. Step 5: Solve for x
    x = 1,252,007.59/1,114.48
  6. Step 6: Final answer
    x = 1,123.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.