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Finding the Fourth Proportional to 1,022.40, 1,533.60 and 373.28

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Solution

The fourth proportional to 1,022.40, 1,533.60 and 373.28 is: 559.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.40 : 1,533.60 = 373.28 : x
  2. Step 2: Convert to fraction form
    1,022.40/1,533.60 = 373.28/x
  3. Step 3: Cross multiply
    1,022.40x = 1,533.60 × 373.28
  4. Step 4: Simplify right side
    1,022.40x = 572,462.21
  5. Step 5: Solve for x
    x = 572,462.21/1,022.40
  6. Step 6: Final answer
    x = 559.92

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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.