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Finding the Fourth Proportional to 1,064.34, 1,594.08 and 754.52

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Solution

The fourth proportional to 1,064.34, 1,594.08 and 754.52 is: 1,130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.34 : 1,594.08 = 754.52 : x
  2. Step 2: Convert to fraction form
    1,064.34/1,594.08 = 754.52/x
  3. Step 3: Cross multiply
    1,064.34x = 1,594.08 × 754.52
  4. Step 4: Simplify right side
    1,064.34x = 1,202,757.27
  5. Step 5: Solve for x
    x = 1,202,757.27/1,064.34
  6. Step 6: Final answer
    x = 1,130.05

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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.