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Finding the Fourth Proportional to 1,117.27, 1,675.52 and 386.65

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Solution

The fourth proportional to 1,117.27, 1,675.52 and 386.65 is: 579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.27 : 1,675.52 = 386.65 : x
  2. Step 2: Convert to fraction form
    1,117.27/1,675.52 = 386.65/x
  3. Step 3: Cross multiply
    1,117.27x = 1,675.52 × 386.65
  4. Step 4: Simplify right side
    1,117.27x = 647,837.87
  5. Step 5: Solve for x
    x = 647,837.87/1,117.27
  6. Step 6: Final answer
    x = 579.84

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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.