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Finding the Fourth Proportional to 720.16, 1,074.41 and 616.24

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Solution

The fourth proportional to 720.16, 1,074.41 and 616.24 is: 919.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.16 : 1,074.41 = 616.24 : x
  2. Step 2: Convert to fraction form
    720.16/1,074.41 = 616.24/x
  3. Step 3: Cross multiply
    720.16x = 1,074.41 × 616.24
  4. Step 4: Simplify right side
    720.16x = 662,094.42
  5. Step 5: Solve for x
    x = 662,094.42/720.16
  6. Step 6: Final answer
    x = 919.37

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