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Finding the Fourth Proportional to 1,111.24, 1,666.88 and 380.88

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Solution

The fourth proportional to 1,111.24, 1,666.88 and 380.88 is: 571.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.24 : 1,666.88 = 380.88 : x
  2. Step 2: Convert to fraction form
    1,111.24/1,666.88 = 380.88/x
  3. Step 3: Cross multiply
    1,111.24x = 1,666.88 × 380.88
  4. Step 4: Simplify right side
    1,111.24x = 634,881.25
  5. Step 5: Solve for x
    x = 634,881.25/1,111.24
  6. Step 6: Final answer
    x = 571.33

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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.