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Finding the Fourth Proportional to 924.84, 1,273.37 and 784.67

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Solution

The fourth proportional to 924.84, 1,273.37 and 784.67 is: 1,080.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.84 : 1,273.37 = 784.67 : x
  2. Step 2: Convert to fraction form
    924.84/1,273.37 = 784.67/x
  3. Step 3: Cross multiply
    924.84x = 1,273.37 × 784.67
  4. Step 4: Simplify right side
    924.84x = 999,164.95
  5. Step 5: Solve for x
    x = 999,164.95/924.84
  6. Step 6: Final answer
    x = 1,080.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.