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Finding the Fourth Proportional to 1,187.63, 1,781.51 and 366.47

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Solution

The fourth proportional to 1,187.63, 1,781.51 and 366.47 is: 549.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.63 : 1,781.51 = 366.47 : x
  2. Step 2: Convert to fraction form
    1,187.63/1,781.51 = 366.47/x
  3. Step 3: Cross multiply
    1,187.63x = 1,781.51 × 366.47
  4. Step 4: Simplify right side
    1,187.63x = 652,859.23
  5. Step 5: Solve for x
    x = 652,859.23/1,187.63
  6. Step 6: Final answer
    x = 549.72

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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.