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Finding the Fourth Proportional to 1,022.92, 1,533.52 and 713.84

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Solution

The fourth proportional to 1,022.92, 1,533.52 and 713.84 is: 1,070.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.92 : 1,533.52 = 713.84 : x
  2. Step 2: Convert to fraction form
    1,022.92/1,533.52 = 713.84/x
  3. Step 3: Cross multiply
    1,022.92x = 1,533.52 × 713.84
  4. Step 4: Simplify right side
    1,022.92x = 1,094,687.92
  5. Step 5: Solve for x
    x = 1,094,687.92/1,022.92
  6. Step 6: Final answer
    x = 1,070.16

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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.