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Finding the Fourth Proportional to 942.94, 1,300.83 and 663.36

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Solution

The fourth proportional to 942.94, 1,300.83 and 663.36 is: 915.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.94 : 1,300.83 = 663.36 : x
  2. Step 2: Convert to fraction form
    942.94/1,300.83 = 663.36/x
  3. Step 3: Cross multiply
    942.94x = 1,300.83 × 663.36
  4. Step 4: Simplify right side
    942.94x = 862,911.22
  5. Step 5: Solve for x
    x = 862,911.22/942.94
  6. Step 6: Final answer
    x = 915.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.