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Finding the Fourth Proportional to 695.84, 1,043.96 and 573.53

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Solution

The fourth proportional to 695.84, 1,043.96 and 573.53 is: 860.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.84 : 1,043.96 = 573.53 : x
  2. Step 2: Convert to fraction form
    695.84/1,043.96 = 573.53/x
  3. Step 3: Cross multiply
    695.84x = 1,043.96 × 573.53
  4. Step 4: Simplify right side
    695.84x = 598,734.29
  5. Step 5: Solve for x
    x = 598,734.29/695.84
  6. Step 6: Final answer
    x = 860.45

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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.