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Finding the Fourth Proportional to 1,066.61, 1,471.70 and 673.41

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Solution

The fourth proportional to 1,066.61, 1,471.70 and 673.41 is: 929.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.61 : 1,471.70 = 673.41 : x
  2. Step 2: Convert to fraction form
    1,066.61/1,471.70 = 673.41/x
  3. Step 3: Cross multiply
    1,066.61x = 1,471.70 × 673.41
  4. Step 4: Simplify right side
    1,066.61x = 991,054.13
  5. Step 5: Solve for x
    x = 991,054.13/1,066.61
  6. Step 6: Final answer
    x = 929.17

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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.