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Finding the Fourth Proportional to 989.80, 1,475.72 and 964.16

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Solution

The fourth proportional to 989.80, 1,475.72 and 964.16 is: 1,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.80 : 1,475.72 = 964.16 : x
  2. Step 2: Convert to fraction form
    989.80/1,475.72 = 964.16/x
  3. Step 3: Cross multiply
    989.80x = 1,475.72 × 964.16
  4. Step 4: Simplify right side
    989.80x = 1,422,830.20
  5. Step 5: Solve for x
    x = 1,422,830.20/989.80
  6. Step 6: Final answer
    x = 1,437.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.