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Finding the Fourth Proportional to 1,074.64, 1,614.38 and 642.08

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Solution

The fourth proportional to 1,074.64, 1,614.38 and 642.08 is: 964.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.64 : 1,614.38 = 642.08 : x
  2. Step 2: Convert to fraction form
    1,074.64/1,614.38 = 642.08/x
  3. Step 3: Cross multiply
    1,074.64x = 1,614.38 × 642.08
  4. Step 4: Simplify right side
    1,074.64x = 1,036,561.11
  5. Step 5: Solve for x
    x = 1,036,561.11/1,074.64
  6. Step 6: Final answer
    x = 964.57

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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.