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Finding the Fourth Proportional to 923.06, 1,273.83 and 530.11

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Solution

The fourth proportional to 923.06, 1,273.83 and 530.11 is: 731.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.06 : 1,273.83 = 530.11 : x
  2. Step 2: Convert to fraction form
    923.06/1,273.83 = 530.11/x
  3. Step 3: Cross multiply
    923.06x = 1,273.83 × 530.11
  4. Step 4: Simplify right side
    923.06x = 675,269.63
  5. Step 5: Solve for x
    x = 675,269.63/923.06
  6. Step 6: Final answer
    x = 731.55

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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.