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Finding the Fourth Proportional to 1,206.34, 1,807.08 and 931.48

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Solution

The fourth proportional to 1,206.34, 1,807.08 and 931.48 is: 1,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.34 : 1,807.08 = 931.48 : x
  2. Step 2: Convert to fraction form
    1,206.34/1,807.08 = 931.48/x
  3. Step 3: Cross multiply
    1,206.34x = 1,807.08 × 931.48
  4. Step 4: Simplify right side
    1,206.34x = 1,683,258.88
  5. Step 5: Solve for x
    x = 1,683,258.88/1,206.34
  6. Step 6: Final answer
    x = 1,395.34

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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.