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Finding the Fourth Proportional to 923.29, 1,274.16 and 503.65

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Solution

The fourth proportional to 923.29, 1,274.16 and 503.65 is: 695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.29 : 1,274.16 = 503.65 : x
  2. Step 2: Convert to fraction form
    923.29/1,274.16 = 503.65/x
  3. Step 3: Cross multiply
    923.29x = 1,274.16 × 503.65
  4. Step 4: Simplify right side
    923.29x = 641,730.68
  5. Step 5: Solve for x
    x = 641,730.68/923.29
  6. Step 6: Final answer
    x = 695.05

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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.