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Finding the Fourth Proportional to 922.74, 1,384.24 and 435.84

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Solution

The fourth proportional to 922.74, 1,384.24 and 435.84 is: 653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.74 : 1,384.24 = 435.84 : x
  2. Step 2: Convert to fraction form
    922.74/1,384.24 = 435.84/x
  3. Step 3: Cross multiply
    922.74x = 1,384.24 × 435.84
  4. Step 4: Simplify right side
    922.74x = 603,307.16
  5. Step 5: Solve for x
    x = 603,307.16/922.74
  6. Step 6: Final answer
    x = 653.82

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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.