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Finding the Fourth Proportional to 1,062.63, 1,593.46 and 568.95

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Solution

The fourth proportional to 1,062.63, 1,593.46 and 568.95 is: 853.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.63 : 1,593.46 = 568.95 : x
  2. Step 2: Convert to fraction form
    1,062.63/1,593.46 = 568.95/x
  3. Step 3: Cross multiply
    1,062.63x = 1,593.46 × 568.95
  4. Step 4: Simplify right side
    1,062.63x = 906,599.88
  5. Step 5: Solve for x
    x = 906,599.88/1,062.63
  6. Step 6: Final answer
    x = 853.17

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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.