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Finding the Fourth Proportional to 930.59, 1,395.29 and 468.11

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Solution

The fourth proportional to 930.59, 1,395.29 and 468.11 is: 701.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.59 : 1,395.29 = 468.11 : x
  2. Step 2: Convert to fraction form
    930.59/1,395.29 = 468.11/x
  3. Step 3: Cross multiply
    930.59x = 1,395.29 × 468.11
  4. Step 4: Simplify right side
    930.59x = 653,153.86
  5. Step 5: Solve for x
    x = 653,153.86/930.59
  6. Step 6: Final answer
    x = 701.87

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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.