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Finding the Fourth Proportional to 1,129.04, 1,693.21 and 435.66

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Solution

The fourth proportional to 1,129.04, 1,693.21 and 435.66 is: 653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.04 : 1,693.21 = 435.66 : x
  2. Step 2: Convert to fraction form
    1,129.04/1,693.21 = 435.66/x
  3. Step 3: Cross multiply
    1,129.04x = 1,693.21 × 435.66
  4. Step 4: Simplify right side
    1,129.04x = 737,663.87
  5. Step 5: Solve for x
    x = 737,663.87/1,129.04
  6. Step 6: Final answer
    x = 653.35

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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.