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Finding the Fourth Proportional to 1,035.75, 1,430.55 and 685.83

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Solution

The fourth proportional to 1,035.75, 1,430.55 and 685.83 is: 947.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.75 : 1,430.55 = 685.83 : x
  2. Step 2: Convert to fraction form
    1,035.75/1,430.55 = 685.83/x
  3. Step 3: Cross multiply
    1,035.75x = 1,430.55 × 685.83
  4. Step 4: Simplify right side
    1,035.75x = 981,114.11
  5. Step 5: Solve for x
    x = 981,114.11/1,035.75
  6. Step 6: Final answer
    x = 947.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.