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Finding the Fourth Proportional to 946.24, 1,306.02 and 597.40

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Solution

The fourth proportional to 946.24, 1,306.02 and 597.40 is: 824.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.24 : 1,306.02 = 597.40 : x
  2. Step 2: Convert to fraction form
    946.24/1,306.02 = 597.40/x
  3. Step 3: Cross multiply
    946.24x = 1,306.02 × 597.40
  4. Step 4: Simplify right side
    946.24x = 780,216.35
  5. Step 5: Solve for x
    x = 780,216.35/946.24
  6. Step 6: Final answer
    x = 824.54

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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.