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Finding the Fourth Proportional to 1,022.10, 1,535.58 and 657.60

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Solution

The fourth proportional to 1,022.10, 1,535.58 and 657.60 is: 987.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.10 : 1,535.58 = 657.60 : x
  2. Step 2: Convert to fraction form
    1,022.10/1,535.58 = 657.60/x
  3. Step 3: Cross multiply
    1,022.10x = 1,535.58 × 657.60
  4. Step 4: Simplify right side
    1,022.10x = 1,009,797.41
  5. Step 5: Solve for x
    x = 1,009,797.41/1,022.10
  6. Step 6: Final answer
    x = 987.96

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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.