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Finding the Fourth Proportional to 931.07, 1,396.19 and 468.76

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Solution

The fourth proportional to 931.07, 1,396.19 and 468.76 is: 702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.07 : 1,396.19 = 468.76 : x
  2. Step 2: Convert to fraction form
    931.07/1,396.19 = 468.76/x
  3. Step 3: Cross multiply
    931.07x = 1,396.19 × 468.76
  4. Step 4: Simplify right side
    931.07x = 654,472.19
  5. Step 5: Solve for x
    x = 654,472.19/931.07
  6. Step 6: Final answer
    x = 702.93

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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.