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Finding the Fourth Proportional to 1,121.05, 1,681.77 and 471.73

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Solution

The fourth proportional to 1,121.05, 1,681.77 and 471.73 is: 707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.05 : 1,681.77 = 471.73 : x
  2. Step 2: Convert to fraction form
    1,121.05/1,681.77 = 471.73/x
  3. Step 3: Cross multiply
    1,121.05x = 1,681.77 × 471.73
  4. Step 4: Simplify right side
    1,121.05x = 793,341.36
  5. Step 5: Solve for x
    x = 793,341.36/1,121.05
  6. Step 6: Final answer
    x = 707.68

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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.