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Finding the Fourth Proportional to 990.95, 1,487.96 and 947.13

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Solution

The fourth proportional to 990.95, 1,487.96 and 947.13 is: 1,422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.95 : 1,487.96 = 947.13 : x
  2. Step 2: Convert to fraction form
    990.95/1,487.96 = 947.13/x
  3. Step 3: Cross multiply
    990.95x = 1,487.96 × 947.13
  4. Step 4: Simplify right side
    990.95x = 1,409,291.55
  5. Step 5: Solve for x
    x = 1,409,291.55/990.95
  6. Step 6: Final answer
    x = 1,422.16

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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.