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Finding the Fourth Proportional to 923.30, 1,274.14 and 530.34

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Solution

The fourth proportional to 923.30, 1,274.14 and 530.34 is: 731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.30 : 1,274.14 = 530.34 : x
  2. Step 2: Convert to fraction form
    923.30/1,274.14 = 530.34/x
  3. Step 3: Cross multiply
    923.30x = 1,274.14 × 530.34
  4. Step 4: Simplify right side
    923.30x = 675,727.41
  5. Step 5: Solve for x
    x = 675,727.41/923.30
  6. Step 6: Final answer
    x = 731.86

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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.