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Finding the Fourth Proportional to 1,187.50, 1,780.95 and 365.56

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Solution

The fourth proportional to 1,187.50, 1,780.95 and 365.56 is: 548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.50 : 1,780.95 = 365.56 : x
  2. Step 2: Convert to fraction form
    1,187.50/1,780.95 = 365.56/x
  3. Step 3: Cross multiply
    1,187.50x = 1,780.95 × 365.56
  4. Step 4: Simplify right side
    1,187.50x = 651,044.08
  5. Step 5: Solve for x
    x = 651,044.08/1,187.50
  6. Step 6: Final answer
    x = 548.25

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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.