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Finding the Fourth Proportional to 1,355.76, 1,871.80 and 958.46

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Solution

The fourth proportional to 1,355.76, 1,871.80 and 958.46 is: 1,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.76 : 1,871.80 = 958.46 : x
  2. Step 2: Convert to fraction form
    1,355.76/1,871.80 = 958.46/x
  3. Step 3: Cross multiply
    1,355.76x = 1,871.80 × 958.46
  4. Step 4: Simplify right side
    1,355.76x = 1,794,045.43
  5. Step 5: Solve for x
    x = 1,794,045.43/1,355.76
  6. Step 6: Final answer
    x = 1,323.28

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