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Finding the Fourth Proportional to 950.90, 1,312.15 and 702.36

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Solution

The fourth proportional to 950.90, 1,312.15 and 702.36 is: 969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.90 : 1,312.15 = 702.36 : x
  2. Step 2: Convert to fraction form
    950.90/1,312.15 = 702.36/x
  3. Step 3: Cross multiply
    950.90x = 1,312.15 × 702.36
  4. Step 4: Simplify right side
    950.90x = 921,601.67
  5. Step 5: Solve for x
    x = 921,601.67/950.90
  6. Step 6: Final answer
    x = 969.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.