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Finding the Fourth Proportional to 1,187, 1,780.53 and 417.50

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Solution

The fourth proportional to 1,187, 1,780.53 and 417.50 is: 626.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187 : 1,780.53 = 417.50 : x
  2. Step 2: Convert to fraction form
    1,187/1,780.53 = 417.50/x
  3. Step 3: Cross multiply
    1,187x = 1,780.53 × 417.50
  4. Step 4: Simplify right side
    1,187x = 743,371.28
  5. Step 5: Solve for x
    x = 743,371.28/1,187
  6. Step 6: Final answer
    x = 626.26

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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.