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Finding the Fourth Proportional to 615.13, 922.83 and 598.22

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Solution

The fourth proportional to 615.13, 922.83 and 598.22 is: 897.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.13 : 922.83 = 598.22 : x
  2. Step 2: Convert to fraction form
    615.13/922.83 = 598.22/x
  3. Step 3: Cross multiply
    615.13x = 922.83 × 598.22
  4. Step 4: Simplify right side
    615.13x = 552,058.38
  5. Step 5: Solve for x
    x = 552,058.38/615.13
  6. Step 6: Final answer
    x = 897.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.