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Finding the Fourth Proportional to 1,510.25, 2,264.56 and 688.30

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Solution

The fourth proportional to 1,510.25, 2,264.56 and 688.30 is: 1,032.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.25 : 2,264.56 = 688.30 : x
  2. Step 2: Convert to fraction form
    1,510.25/2,264.56 = 688.30/x
  3. Step 3: Cross multiply
    1,510.25x = 2,264.56 × 688.30
  4. Step 4: Simplify right side
    1,510.25x = 1,558,689.27
  5. Step 5: Solve for x
    x = 1,558,689.27/1,510.25
  6. Step 6: Final answer
    x = 1,032.08

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