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Finding the Fourth Proportional to 923.04, 1,273.84 and 530.12

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Solution

The fourth proportional to 923.04, 1,273.84 and 530.12 is: 731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.04 : 1,273.84 = 530.12 : x
  2. Step 2: Convert to fraction form
    923.04/1,273.84 = 530.12/x
  3. Step 3: Cross multiply
    923.04x = 1,273.84 × 530.12
  4. Step 4: Simplify right side
    923.04x = 675,288.06
  5. Step 5: Solve for x
    x = 675,288.06/923.04
  6. Step 6: Final answer
    x = 731.59

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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.