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Finding the Fourth Proportional to 946.84, 1,306.73 and 527.33

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Solution

The fourth proportional to 946.84, 1,306.73 and 527.33 is: 727.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.84 : 1,306.73 = 527.33 : x
  2. Step 2: Convert to fraction form
    946.84/1,306.73 = 527.33/x
  3. Step 3: Cross multiply
    946.84x = 1,306.73 × 527.33
  4. Step 4: Simplify right side
    946.84x = 689,077.93
  5. Step 5: Solve for x
    x = 689,077.93/946.84
  6. Step 6: Final answer
    x = 727.77

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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.