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Finding the Fourth Proportional to 930.95, 1,395.71 and 725.95

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Solution

The fourth proportional to 930.95, 1,395.71 and 725.95 is: 1,088.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.95 : 1,395.71 = 725.95 : x
  2. Step 2: Convert to fraction form
    930.95/1,395.71 = 725.95/x
  3. Step 3: Cross multiply
    930.95x = 1,395.71 × 725.95
  4. Step 4: Simplify right side
    930.95x = 1,013,215.67
  5. Step 5: Solve for x
    x = 1,013,215.67/930.95
  6. Step 6: Final answer
    x = 1,088.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.