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Finding the Fourth Proportional to 988.21, 1,482.32 and 928.07

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Solution

The fourth proportional to 988.21, 1,482.32 and 928.07 is: 1,392.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.21 : 1,482.32 = 928.07 : x
  2. Step 2: Convert to fraction form
    988.21/1,482.32 = 928.07/x
  3. Step 3: Cross multiply
    988.21x = 1,482.32 × 928.07
  4. Step 4: Simplify right side
    988.21x = 1,375,696.72
  5. Step 5: Solve for x
    x = 1,375,696.72/988.21
  6. Step 6: Final answer
    x = 1,392.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.