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Finding the Fourth Proportional to 1,147.95, 1,722.17 and 417.51

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Solution

The fourth proportional to 1,147.95, 1,722.17 and 417.51 is: 626.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.95 : 1,722.17 = 417.51 : x
  2. Step 2: Convert to fraction form
    1,147.95/1,722.17 = 417.51/x
  3. Step 3: Cross multiply
    1,147.95x = 1,722.17 × 417.51
  4. Step 4: Simplify right side
    1,147.95x = 719,024.24
  5. Step 5: Solve for x
    x = 719,024.24/1,147.95
  6. Step 6: Final answer
    x = 626.36

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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.