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Finding the Fourth Proportional to 924.12, 1,274.40 and 814.68

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Solution

The fourth proportional to 924.12, 1,274.40 and 814.68 is: 1,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.12 : 1,274.40 = 814.68 : x
  2. Step 2: Convert to fraction form
    924.12/1,274.40 = 814.68/x
  3. Step 3: Cross multiply
    924.12x = 1,274.40 × 814.68
  4. Step 4: Simplify right side
    924.12x = 1,038,228.19
  5. Step 5: Solve for x
    x = 1,038,228.19/924.12
  6. Step 6: Final answer
    x = 1,123.48

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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.