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Finding the Fourth Proportional to 922.56, 1,384.64 and 375.12

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Solution

The fourth proportional to 922.56, 1,384.64 and 375.12 is: 563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.56 : 1,384.64 = 375.12 : x
  2. Step 2: Convert to fraction form
    922.56/1,384.64 = 375.12/x
  3. Step 3: Cross multiply
    922.56x = 1,384.64 × 375.12
  4. Step 4: Simplify right side
    922.56x = 519,406.16
  5. Step 5: Solve for x
    x = 519,406.16/922.56
  6. Step 6: Final answer
    x = 563.01

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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.