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Finding the Fourth Proportional to 923.57, 1,274.05 and 530.35

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Solution

The fourth proportional to 923.57, 1,274.05 and 530.35 is: 731.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.57 : 1,274.05 = 530.35 : x
  2. Step 2: Convert to fraction form
    923.57/1,274.05 = 530.35/x
  3. Step 3: Cross multiply
    923.57x = 1,274.05 × 530.35
  4. Step 4: Simplify right side
    923.57x = 675,687.91
  5. Step 5: Solve for x
    x = 675,687.91/923.57
  6. Step 6: Final answer
    x = 731.61

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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.