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Finding the Fourth Proportional to 736.40, 1,099.42 and 650

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Solution

The fourth proportional to 736.40, 1,099.42 and 650 is: 970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.40 : 1,099.42 = 650 : x
  2. Step 2: Convert to fraction form
    736.40/1,099.42 = 650/x
  3. Step 3: Cross multiply
    736.40x = 1,099.42 × 650
  4. Step 4: Simplify right side
    736.40x = 714,623
  5. Step 5: Solve for x
    x = 714,623/736.40
  6. Step 6: Final answer
    x = 970.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.