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Finding the Fourth Proportional to 922.36, 1,384.08 and 558.40

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Solution

The fourth proportional to 922.36, 1,384.08 and 558.40 is: 837.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.36 : 1,384.08 = 558.40 : x
  2. Step 2: Convert to fraction form
    922.36/1,384.08 = 558.40/x
  3. Step 3: Cross multiply
    922.36x = 1,384.08 × 558.40
  4. Step 4: Simplify right side
    922.36x = 772,870.27
  5. Step 5: Solve for x
    x = 772,870.27/922.36
  6. Step 6: Final answer
    x = 837.93

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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.