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Finding the Fourth Proportional to 1,066.32, 1,471.62 and 594.29

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Solution

The fourth proportional to 1,066.32, 1,471.62 and 594.29 is: 820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.32 : 1,471.62 = 594.29 : x
  2. Step 2: Convert to fraction form
    1,066.32/1,471.62 = 594.29/x
  3. Step 3: Cross multiply
    1,066.32x = 1,471.62 × 594.29
  4. Step 4: Simplify right side
    1,066.32x = 874,569.44
  5. Step 5: Solve for x
    x = 874,569.44/1,066.32
  6. Step 6: Final answer
    x = 820.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.