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Finding the Fourth Proportional to 1,148.34, 1,722.49 and 417.66

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Solution

The fourth proportional to 1,148.34, 1,722.49 and 417.66 is: 626.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.34 : 1,722.49 = 417.66 : x
  2. Step 2: Convert to fraction form
    1,148.34/1,722.49 = 417.66/x
  3. Step 3: Cross multiply
    1,148.34x = 1,722.49 × 417.66
  4. Step 4: Simplify right side
    1,148.34x = 719,415.17
  5. Step 5: Solve for x
    x = 719,415.17/1,148.34
  6. Step 6: Final answer
    x = 626.48

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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.