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Finding the Fourth Proportional to 695.60, 959.14 and 653.23

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Solution

The fourth proportional to 695.60, 959.14 and 653.23 is: 900.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.60 : 959.14 = 653.23 : x
  2. Step 2: Convert to fraction form
    695.60/959.14 = 653.23/x
  3. Step 3: Cross multiply
    695.60x = 959.14 × 653.23
  4. Step 4: Simplify right side
    695.60x = 626,541.04
  5. Step 5: Solve for x
    x = 626,541.04/695.60
  6. Step 6: Final answer
    x = 900.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.