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Finding the Fourth Proportional to 617.79, 922.28 and 596.16

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Solution

The fourth proportional to 617.79, 922.28 and 596.16 is: 889.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.79 : 922.28 = 596.16 : x
  2. Step 2: Convert to fraction form
    617.79/922.28 = 596.16/x
  3. Step 3: Cross multiply
    617.79x = 922.28 × 596.16
  4. Step 4: Simplify right side
    617.79x = 549,825.19
  5. Step 5: Solve for x
    x = 549,825.19/617.79
  6. Step 6: Final answer
    x = 889.99

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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.