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Finding the Fourth Proportional to 939.49, 1,405.70 and 577.16

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Solution

The fourth proportional to 939.49, 1,405.70 and 577.16 is: 863.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.49 : 1,405.70 = 577.16 : x
  2. Step 2: Convert to fraction form
    939.49/1,405.70 = 577.16/x
  3. Step 3: Cross multiply
    939.49x = 1,405.70 × 577.16
  4. Step 4: Simplify right side
    939.49x = 811,313.81
  5. Step 5: Solve for x
    x = 811,313.81/939.49
  6. Step 6: Final answer
    x = 863.57

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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.