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Finding the Fourth Proportional to 1,022.07, 1,533.51 and 373.26

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Solution

The fourth proportional to 1,022.07, 1,533.51 and 373.26 is: 560.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.07 : 1,533.51 = 373.26 : x
  2. Step 2: Convert to fraction form
    1,022.07/1,533.51 = 373.26/x
  3. Step 3: Cross multiply
    1,022.07x = 1,533.51 × 373.26
  4. Step 4: Simplify right side
    1,022.07x = 572,397.94
  5. Step 5: Solve for x
    x = 572,397.94/1,022.07
  6. Step 6: Final answer
    x = 560.04

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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.