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Finding the Fourth Proportional to 946.28, 1,304.98 and 651.08

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Solution

The fourth proportional to 946.28, 1,304.98 and 651.08 is: 897.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.28 : 1,304.98 = 651.08 : x
  2. Step 2: Convert to fraction form
    946.28/1,304.98 = 651.08/x
  3. Step 3: Cross multiply
    946.28x = 1,304.98 × 651.08
  4. Step 4: Simplify right side
    946.28x = 849,646.38
  5. Step 5: Solve for x
    x = 849,646.38/946.28
  6. Step 6: Final answer
    x = 897.88

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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.