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Finding the Fourth Proportional to 1,121.36, 1,681.80 and 471.74

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Solution

The fourth proportional to 1,121.36, 1,681.80 and 471.74 is: 707.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.36 : 1,681.80 = 471.74 : x
  2. Step 2: Convert to fraction form
    1,121.36/1,681.80 = 471.74/x
  3. Step 3: Cross multiply
    1,121.36x = 1,681.80 × 471.74
  4. Step 4: Simplify right side
    1,121.36x = 793,372.33
  5. Step 5: Solve for x
    x = 793,372.33/1,121.36
  6. Step 6: Final answer
    x = 707.51

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Why These Related Problems?

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