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Finding the Fourth Proportional to 1,008.23, 1,510.04 and 906.74

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Solution

The fourth proportional to 1,008.23, 1,510.04 and 906.74 is: 1,358.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.23 : 1,510.04 = 906.74 : x
  2. Step 2: Convert to fraction form
    1,008.23/1,510.04 = 906.74/x
  3. Step 3: Cross multiply
    1,008.23x = 1,510.04 × 906.74
  4. Step 4: Simplify right side
    1,008.23x = 1,369,209.14
  5. Step 5: Solve for x
    x = 1,369,209.14/1,008.23
  6. Step 6: Final answer
    x = 1,358.03

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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.