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Finding the Fourth Proportional to 1,066.47, 1,471.41 and 693.87

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Solution

The fourth proportional to 1,066.47, 1,471.41 and 693.87 is: 957.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.47 : 1,471.41 = 693.87 : x
  2. Step 2: Convert to fraction form
    1,066.47/1,471.41 = 693.87/x
  3. Step 3: Cross multiply
    1,066.47x = 1,471.41 × 693.87
  4. Step 4: Simplify right side
    1,066.47x = 1,020,967.26
  5. Step 5: Solve for x
    x = 1,020,967.26/1,066.47
  6. Step 6: Final answer
    x = 957.33

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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.