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Finding the Fourth Proportional to 1,411.26, 1,946.58 and 913.14

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Solution

The fourth proportional to 1,411.26, 1,946.58 and 913.14 is: 1,259.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.26 : 1,946.58 = 913.14 : x
  2. Step 2: Convert to fraction form
    1,411.26/1,946.58 = 913.14/x
  3. Step 3: Cross multiply
    1,411.26x = 1,946.58 × 913.14
  4. Step 4: Simplify right side
    1,411.26x = 1,777,500.06
  5. Step 5: Solve for x
    x = 1,777,500.06/1,411.26
  6. Step 6: Final answer
    x = 1,259.51

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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.