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Finding the Fourth Proportional to 995.42, 1,484.36 and 926.16

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Solution

The fourth proportional to 995.42, 1,484.36 and 926.16 is: 1,381.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.42 : 1,484.36 = 926.16 : x
  2. Step 2: Convert to fraction form
    995.42/1,484.36 = 926.16/x
  3. Step 3: Cross multiply
    995.42x = 1,484.36 × 926.16
  4. Step 4: Simplify right side
    995.42x = 1,374,750.23
  5. Step 5: Solve for x
    x = 1,374,750.23/995.42
  6. Step 6: Final answer
    x = 1,381.08

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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.