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Finding the Fourth Proportional to 922.18, 1,384.44 and 598.90

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Solution

The fourth proportional to 922.18, 1,384.44 and 598.90 is: 899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.18 : 1,384.44 = 598.90 : x
  2. Step 2: Convert to fraction form
    922.18/1,384.44 = 598.90/x
  3. Step 3: Cross multiply
    922.18x = 1,384.44 × 598.90
  4. Step 4: Simplify right side
    922.18x = 829,141.12
  5. Step 5: Solve for x
    x = 829,141.12/922.18
  6. Step 6: Final answer
    x = 899.11

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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.