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Finding the Fourth Proportional to 1,062.98, 1,594.45 and 477.65

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Solution

The fourth proportional to 1,062.98, 1,594.45 and 477.65 is: 716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.98 : 1,594.45 = 477.65 : x
  2. Step 2: Convert to fraction form
    1,062.98/1,594.45 = 477.65/x
  3. Step 3: Cross multiply
    1,062.98x = 1,594.45 × 477.65
  4. Step 4: Simplify right side
    1,062.98x = 761,593.63
  5. Step 5: Solve for x
    x = 761,593.63/1,062.98
  6. Step 6: Final answer
    x = 716.47

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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.