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Finding the Fourth Proportional to 923.26, 1,273.80 and 530.21

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Solution

The fourth proportional to 923.26, 1,273.80 and 530.21 is: 731.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.26 : 1,273.80 = 530.21 : x
  2. Step 2: Convert to fraction form
    923.26/1,273.80 = 530.21/x
  3. Step 3: Cross multiply
    923.26x = 1,273.80 × 530.21
  4. Step 4: Simplify right side
    923.26x = 675,381.50
  5. Step 5: Solve for x
    x = 675,381.50/923.26
  6. Step 6: Final answer
    x = 731.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.