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Finding the Fourth Proportional to 1,061.54, 1,464.68 and 669.08

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Solution

The fourth proportional to 1,061.54, 1,464.68 and 669.08 is: 923.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.54 : 1,464.68 = 669.08 : x
  2. Step 2: Convert to fraction form
    1,061.54/1,464.68 = 669.08/x
  3. Step 3: Cross multiply
    1,061.54x = 1,464.68 × 669.08
  4. Step 4: Simplify right side
    1,061.54x = 979,988.09
  5. Step 5: Solve for x
    x = 979,988.09/1,061.54
  6. Step 6: Final answer
    x = 923.18

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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.