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Finding the Fourth Proportional to 1,122.51, 1,549.42 and 674.71

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Solution

The fourth proportional to 1,122.51, 1,549.42 and 674.71 is: 931.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.51 : 1,549.42 = 674.71 : x
  2. Step 2: Convert to fraction form
    1,122.51/1,549.42 = 674.71/x
  3. Step 3: Cross multiply
    1,122.51x = 1,549.42 × 674.71
  4. Step 4: Simplify right side
    1,122.51x = 1,045,409.17
  5. Step 5: Solve for x
    x = 1,045,409.17/1,122.51
  6. Step 6: Final answer
    x = 931.31

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Why These Related Problems?

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