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Finding the Fourth Proportional to 958.77, 1,436.63 and 714.06

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Solution

The fourth proportional to 958.77, 1,436.63 and 714.06 is: 1,069.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.77 : 1,436.63 = 714.06 : x
  2. Step 2: Convert to fraction form
    958.77/1,436.63 = 714.06/x
  3. Step 3: Cross multiply
    958.77x = 1,436.63 × 714.06
  4. Step 4: Simplify right side
    958.77x = 1,025,836.45
  5. Step 5: Solve for x
    x = 1,025,836.45/958.77
  6. Step 6: Final answer
    x = 1,069.95

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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.