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Finding the Fourth Proportional to 1,022.25, 1,533.99 and 373.05

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Solution

The fourth proportional to 1,022.25, 1,533.99 and 373.05 is: 559.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.25 : 1,533.99 = 373.05 : x
  2. Step 2: Convert to fraction form
    1,022.25/1,533.99 = 373.05/x
  3. Step 3: Cross multiply
    1,022.25x = 1,533.99 × 373.05
  4. Step 4: Simplify right side
    1,022.25x = 572,254.97
  5. Step 5: Solve for x
    x = 572,254.97/1,022.25
  6. Step 6: Final answer
    x = 559.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.