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Finding the Fourth Proportional to 942.84, 1,299.84 and 795.22

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Solution

The fourth proportional to 942.84, 1,299.84 and 795.22 is: 1,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.84 : 1,299.84 = 795.22 : x
  2. Step 2: Convert to fraction form
    942.84/1,299.84 = 795.22/x
  3. Step 3: Cross multiply
    942.84x = 1,299.84 × 795.22
  4. Step 4: Simplify right side
    942.84x = 1,033,658.76
  5. Step 5: Solve for x
    x = 1,033,658.76/942.84
  6. Step 6: Final answer
    x = 1,096.32

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1.5x scale

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.