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Finding the Fourth Proportional to 1,014.72, 1,510.56 and 1,009.26

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Solution

The fourth proportional to 1,014.72, 1,510.56 and 1,009.26 is: 1,502.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.72 : 1,510.56 = 1,009.26 : x
  2. Step 2: Convert to fraction form
    1,014.72/1,510.56 = 1,009.26/x
  3. Step 3: Cross multiply
    1,014.72x = 1,510.56 × 1,009.26
  4. Step 4: Simplify right side
    1,014.72x = 1,524,547.79
  5. Step 5: Solve for x
    x = 1,524,547.79/1,014.72
  6. Step 6: Final answer
    x = 1,502.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.