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Finding the Fourth Proportional to 738.83, 1,019.03 and 702.66

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Solution

The fourth proportional to 738.83, 1,019.03 and 702.66 is: 969.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.83 : 1,019.03 = 702.66 : x
  2. Step 2: Convert to fraction form
    738.83/1,019.03 = 702.66/x
  3. Step 3: Cross multiply
    738.83x = 1,019.03 × 702.66
  4. Step 4: Simplify right side
    738.83x = 716,028.11
  5. Step 5: Solve for x
    x = 716,028.11/738.83
  6. Step 6: Final answer
    x = 969.14

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Why These Related Problems?

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