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Finding the Fourth Proportional to 1,059.11, 1,460.03 and 686.00

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Solution

The fourth proportional to 1,059.11, 1,460.03 and 686.00 is: 945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.11 : 1,460.03 = 686.00 : x
  2. Step 2: Convert to fraction form
    1,059.11/1,460.03 = 686.00/x
  3. Step 3: Cross multiply
    1,059.11x = 1,460.03 × 686.00
  4. Step 4: Simplify right side
    1,059.11x = 1,001,580.80
  5. Step 5: Solve for x
    x = 1,001,580.80/1,059.11
  6. Step 6: Final answer
    x = 945.68

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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.