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Finding the Fourth Proportional to 1,128.63, 1,693.22 and 359.13

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Solution

The fourth proportional to 1,128.63, 1,693.22 and 359.13 is: 538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.63 : 1,693.22 = 359.13 : x
  2. Step 2: Convert to fraction form
    1,128.63/1,693.22 = 359.13/x
  3. Step 3: Cross multiply
    1,128.63x = 1,693.22 × 359.13
  4. Step 4: Simplify right side
    1,128.63x = 608,086.10
  5. Step 5: Solve for x
    x = 608,086.10/1,128.63
  6. Step 6: Final answer
    x = 538.78

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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.