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Finding the Fourth Proportional to 946.71, 1,306.08 and 597.51

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Solution

The fourth proportional to 946.71, 1,306.08 and 597.51 is: 824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.71 : 1,306.08 = 597.51 : x
  2. Step 2: Convert to fraction form
    946.71/1,306.08 = 597.51/x
  3. Step 3: Cross multiply
    946.71x = 1,306.08 × 597.51
  4. Step 4: Simplify right side
    946.71x = 780,395.86
  5. Step 5: Solve for x
    x = 780,395.86/946.71
  6. Step 6: Final answer
    x = 824.32

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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.