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Finding the Fourth Proportional to 1,510.97, 2,266.46 and 415.34

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Solution

The fourth proportional to 1,510.97, 2,266.46 and 415.34 is: 623.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.97 : 2,266.46 = 415.34 : x
  2. Step 2: Convert to fraction form
    1,510.97/2,266.46 = 415.34/x
  3. Step 3: Cross multiply
    1,510.97x = 2,266.46 × 415.34
  4. Step 4: Simplify right side
    1,510.97x = 941,351.50
  5. Step 5: Solve for x
    x = 941,351.50/1,510.97
  6. Step 6: Final answer
    x = 623.01

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.