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Finding the Fourth Proportional to 1,066.49, 1,599.43 and 417.07

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Solution

The fourth proportional to 1,066.49, 1,599.43 and 417.07 is: 625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.49 : 1,599.43 = 417.07 : x
  2. Step 2: Convert to fraction form
    1,066.49/1,599.43 = 417.07/x
  3. Step 3: Cross multiply
    1,066.49x = 1,599.43 × 417.07
  4. Step 4: Simplify right side
    1,066.49x = 667,074.27
  5. Step 5: Solve for x
    x = 667,074.27/1,066.49
  6. Step 6: Final answer
    x = 625.49

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Double scale
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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.