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Finding the Fourth Proportional to 946.84, 1,306.74 and 597.64

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Solution

The fourth proportional to 946.84, 1,306.74 and 597.64 is: 824.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.84 : 1,306.74 = 597.64 : x
  2. Step 2: Convert to fraction form
    946.84/1,306.74 = 597.64/x
  3. Step 3: Cross multiply
    946.84x = 1,306.74 × 597.64
  4. Step 4: Simplify right side
    946.84x = 780,960.09
  5. Step 5: Solve for x
    x = 780,960.09/946.84
  6. Step 6: Final answer
    x = 824.81

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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.