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Finding the Fourth Proportional to 1,386.34, 1,912.98 and 765.34

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Solution

The fourth proportional to 1,386.34, 1,912.98 and 765.34 is: 1,056.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.34 : 1,912.98 = 765.34 : x
  2. Step 2: Convert to fraction form
    1,386.34/1,912.98 = 765.34/x
  3. Step 3: Cross multiply
    1,386.34x = 1,912.98 × 765.34
  4. Step 4: Simplify right side
    1,386.34x = 1,464,080.11
  5. Step 5: Solve for x
    x = 1,464,080.11/1,386.34
  6. Step 6: Final answer
    x = 1,056.08

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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.