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Finding the Fourth Proportional to 1,062.47, 1,594.37 and 446.69

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Solution

The fourth proportional to 1,062.47, 1,594.37 and 446.69 is: 670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.47 : 1,594.37 = 446.69 : x
  2. Step 2: Convert to fraction form
    1,062.47/1,594.37 = 446.69/x
  3. Step 3: Cross multiply
    1,062.47x = 1,594.37 × 446.69
  4. Step 4: Simplify right side
    1,062.47x = 712,194.24
  5. Step 5: Solve for x
    x = 712,194.24/1,062.47
  6. Step 6: Final answer
    x = 670.32

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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.