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Finding the Fourth Proportional to 722.16, 1,077.40 and 618.24

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Solution

The fourth proportional to 722.16, 1,077.40 and 618.24 is: 922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.16 : 1,077.40 = 618.24 : x
  2. Step 2: Convert to fraction form
    722.16/1,077.40 = 618.24/x
  3. Step 3: Cross multiply
    722.16x = 1,077.40 × 618.24
  4. Step 4: Simplify right side
    722.16x = 666,091.78
  5. Step 5: Solve for x
    x = 666,091.78/722.16
  6. Step 6: Final answer
    x = 922.36

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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.