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Finding the Fourth Proportional to 758.76, 1,052.24 and 734.08

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Solution

The fourth proportional to 758.76, 1,052.24 and 734.08 is: 1,018.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.76 : 1,052.24 = 734.08 : x
  2. Step 2: Convert to fraction form
    758.76/1,052.24 = 734.08/x
  3. Step 3: Cross multiply
    758.76x = 1,052.24 × 734.08
  4. Step 4: Simplify right side
    758.76x = 772,428.34
  5. Step 5: Solve for x
    x = 772,428.34/758.76
  6. Step 6: Final answer
    x = 1,018.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.