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Finding the Fourth Proportional to 924.22, 1,384.43 and 615.08

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Solution

The fourth proportional to 924.22, 1,384.43 and 615.08 is: 921.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.22 : 1,384.43 = 615.08 : x
  2. Step 2: Convert to fraction form
    924.22/1,384.43 = 615.08/x
  3. Step 3: Cross multiply
    924.22x = 1,384.43 × 615.08
  4. Step 4: Simplify right side
    924.22x = 851,535.01
  5. Step 5: Solve for x
    x = 851,535.01/924.22
  6. Step 6: Final answer
    x = 921.35

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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.