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Finding the Fourth Proportional to 1,657.64, 2,287.76 and 959

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Solution

The fourth proportional to 1,657.64, 2,287.76 and 959 is: 1,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.64 : 2,287.76 = 959 : x
  2. Step 2: Convert to fraction form
    1,657.64/2,287.76 = 959/x
  3. Step 3: Cross multiply
    1,657.64x = 2,287.76 × 959
  4. Step 4: Simplify right side
    1,657.64x = 2,193,961.84
  5. Step 5: Solve for x
    x = 2,193,961.84/1,657.64
  6. Step 6: Final answer
    x = 1,323.55

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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.