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Finding the Fourth Proportional to 1,066.79, 1,600.19 and 417.07

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Solution

The fourth proportional to 1,066.79, 1,600.19 and 417.07 is: 625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.79 : 1,600.19 = 417.07 : x
  2. Step 2: Convert to fraction form
    1,066.79/1,600.19 = 417.07/x
  3. Step 3: Cross multiply
    1,066.79x = 1,600.19 × 417.07
  4. Step 4: Simplify right side
    1,066.79x = 667,388.29
  5. Step 5: Solve for x
    x = 667,388.29/1,066.79
  6. Step 6: Final answer
    x = 625.60

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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.