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Finding the Fourth Proportional to 1,066.74, 1,600.33 and 417.48

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Solution

The fourth proportional to 1,066.74, 1,600.33 and 417.48 is: 626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.74 : 1,600.33 = 417.48 : x
  2. Step 2: Convert to fraction form
    1,066.74/1,600.33 = 417.48/x
  3. Step 3: Cross multiply
    1,066.74x = 1,600.33 × 417.48
  4. Step 4: Simplify right side
    1,066.74x = 668,105.77
  5. Step 5: Solve for x
    x = 668,105.77/1,066.74
  6. Step 6: Final answer
    x = 626.31

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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.