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Finding the Fourth Proportional to 924.34, 1,384.05 and 762.74

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Solution

The fourth proportional to 924.34, 1,384.05 and 762.74 is: 1,142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.34 : 1,384.05 = 762.74 : x
  2. Step 2: Convert to fraction form
    924.34/1,384.05 = 762.74/x
  3. Step 3: Cross multiply
    924.34x = 1,384.05 × 762.74
  4. Step 4: Simplify right side
    924.34x = 1,055,670.30
  5. Step 5: Solve for x
    x = 1,055,670.30/924.34
  6. Step 6: Final answer
    x = 1,142.08

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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.