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Finding the Fourth Proportional to 1,022.96, 1,533.60 and 698.96

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Solution

The fourth proportional to 1,022.96, 1,533.60 and 698.96 is: 1,047.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.96 : 1,533.60 = 698.96 : x
  2. Step 2: Convert to fraction form
    1,022.96/1,533.60 = 698.96/x
  3. Step 3: Cross multiply
    1,022.96x = 1,533.60 × 698.96
  4. Step 4: Simplify right side
    1,022.96x = 1,071,925.06
  5. Step 5: Solve for x
    x = 1,071,925.06/1,022.96
  6. Step 6: Final answer
    x = 1,047.87

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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.