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Finding the Fourth Proportional to 922.92, 1,384.08 and 435.66

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Solution

The fourth proportional to 922.92, 1,384.08 and 435.66 is: 653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.92 : 1,384.08 = 435.66 : x
  2. Step 2: Convert to fraction form
    922.92/1,384.08 = 435.66/x
  3. Step 3: Cross multiply
    922.92x = 1,384.08 × 435.66
  4. Step 4: Simplify right side
    922.92x = 602,988.29
  5. Step 5: Solve for x
    x = 602,988.29/922.92
  6. Step 6: Final answer
    x = 653.35

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