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Finding the Fourth Proportional to 1,510.68, 2,266.29 and 470.64

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Solution

The fourth proportional to 1,510.68, 2,266.29 and 470.64 is: 706.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.68 : 2,266.29 = 470.64 : x
  2. Step 2: Convert to fraction form
    1,510.68/2,266.29 = 470.64/x
  3. Step 3: Cross multiply
    1,510.68x = 2,266.29 × 470.64
  4. Step 4: Simplify right side
    1,510.68x = 1,066,606.73
  5. Step 5: Solve for x
    x = 1,066,606.73/1,510.68
  6. Step 6: Final answer
    x = 706.04

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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.