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Finding the Fourth Proportional to 923.94, 1,275.03 and 509.94

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Solution

The fourth proportional to 923.94, 1,275.03 and 509.94 is: 703.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.94 : 1,275.03 = 509.94 : x
  2. Step 2: Convert to fraction form
    923.94/1,275.03 = 509.94/x
  3. Step 3: Cross multiply
    923.94x = 1,275.03 × 509.94
  4. Step 4: Simplify right side
    923.94x = 650,188.80
  5. Step 5: Solve for x
    x = 650,188.80/923.94
  6. Step 6: Final answer
    x = 703.71

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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.