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Finding the Fourth Proportional to 1,237.60, 1,708.25 and 795.64

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Solution

The fourth proportional to 1,237.60, 1,708.25 and 795.64 is: 1,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.60 : 1,708.25 = 795.64 : x
  2. Step 2: Convert to fraction form
    1,237.60/1,708.25 = 795.64/x
  3. Step 3: Cross multiply
    1,237.60x = 1,708.25 × 795.64
  4. Step 4: Simplify right side
    1,237.60x = 1,359,152.03
  5. Step 5: Solve for x
    x = 1,359,152.03/1,237.60
  6. Step 6: Final answer
    x = 1,098.22

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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.