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Finding the Fourth Proportional to 1,111.07, 1,666.59 and 380.64

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Solution

The fourth proportional to 1,111.07, 1,666.59 and 380.64 is: 570.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.07 : 1,666.59 = 380.64 : x
  2. Step 2: Convert to fraction form
    1,111.07/1,666.59 = 380.64/x
  3. Step 3: Cross multiply
    1,111.07x = 1,666.59 × 380.64
  4. Step 4: Simplify right side
    1,111.07x = 634,370.82
  5. Step 5: Solve for x
    x = 634,370.82/1,111.07
  6. Step 6: Final answer
    x = 570.95

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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.