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Finding the Fourth Proportional to 1,410.11, 1,946.45 and 913.13

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Solution

The fourth proportional to 1,410.11, 1,946.45 and 913.13 is: 1,260.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.11 : 1,946.45 = 913.13 : x
  2. Step 2: Convert to fraction form
    1,410.11/1,946.45 = 913.13/x
  3. Step 3: Cross multiply
    1,410.11x = 1,946.45 × 913.13
  4. Step 4: Simplify right side
    1,410.11x = 1,777,361.89
  5. Step 5: Solve for x
    x = 1,777,361.89/1,410.11
  6. Step 6: Final answer
    x = 1,260.44

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1.5x scale

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.