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Finding the Fourth Proportional to 1,128.96, 1,693.40 and 435.33

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Solution

The fourth proportional to 1,128.96, 1,693.40 and 435.33 is: 652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.96 : 1,693.40 = 435.33 : x
  2. Step 2: Convert to fraction form
    1,128.96/1,693.40 = 435.33/x
  3. Step 3: Cross multiply
    1,128.96x = 1,693.40 × 435.33
  4. Step 4: Simplify right side
    1,128.96x = 737,185.65
  5. Step 5: Solve for x
    x = 737,185.65/1,128.96
  6. Step 6: Final answer
    x = 652.98

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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.