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Finding the Fourth Proportional to 1,059.18, 1,460.07 and 764.34

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Solution

The fourth proportional to 1,059.18, 1,460.07 and 764.34 is: 1,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.18 : 1,460.07 = 764.34 : x
  2. Step 2: Convert to fraction form
    1,059.18/1,460.07 = 764.34/x
  3. Step 3: Cross multiply
    1,059.18x = 1,460.07 × 764.34
  4. Step 4: Simplify right side
    1,059.18x = 1,115,989.90
  5. Step 5: Solve for x
    x = 1,115,989.90/1,059.18
  6. Step 6: Final answer
    x = 1,053.64

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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.