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Finding the Fourth Proportional to 1,019.34, 1,405.05 and 687.66

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Solution

The fourth proportional to 1,019.34, 1,405.05 and 687.66 is: 947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.34 : 1,405.05 = 687.66 : x
  2. Step 2: Convert to fraction form
    1,019.34/1,405.05 = 687.66/x
  3. Step 3: Cross multiply
    1,019.34x = 1,405.05 × 687.66
  4. Step 4: Simplify right side
    1,019.34x = 966,196.68
  5. Step 5: Solve for x
    x = 966,196.68/1,019.34
  6. Step 6: Final answer
    x = 947.86

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Why These Related Problems?

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