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Finding the Fourth Proportional to 1,128.87, 1,693.37 and 307.19

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Solution

The fourth proportional to 1,128.87, 1,693.37 and 307.19 is: 460.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.87 : 1,693.37 = 307.19 : x
  2. Step 2: Convert to fraction form
    1,128.87/1,693.37 = 307.19/x
  3. Step 3: Cross multiply
    1,128.87x = 1,693.37 × 307.19
  4. Step 4: Simplify right side
    1,128.87x = 520,191.33
  5. Step 5: Solve for x
    x = 520,191.33/1,128.87
  6. Step 6: Final answer
    x = 460.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.