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Finding the Fourth Proportional to 923.24, 1,274.04 and 530.25

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Solution

The fourth proportional to 923.24, 1,274.04 and 530.25 is: 731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.24 : 1,274.04 = 530.25 : x
  2. Step 2: Convert to fraction form
    923.24/1,274.04 = 530.25/x
  3. Step 3: Cross multiply
    923.24x = 1,274.04 × 530.25
  4. Step 4: Simplify right side
    923.24x = 675,559.71
  5. Step 5: Solve for x
    x = 675,559.71/923.24
  6. Step 6: Final answer
    x = 731.73

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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.