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Finding the Fourth Proportional to 946.04, 1,304.61 and 631.32

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Solution

The fourth proportional to 946.04, 1,304.61 and 631.32 is: 870.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.04 : 1,304.61 = 631.32 : x
  2. Step 2: Convert to fraction form
    946.04/1,304.61 = 631.32/x
  3. Step 3: Cross multiply
    946.04x = 1,304.61 × 631.32
  4. Step 4: Simplify right side
    946.04x = 823,622.68
  5. Step 5: Solve for x
    x = 823,622.68/946.04
  6. Step 6: Final answer
    x = 870.60

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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.