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Finding the Fourth Proportional to 1,510.88, 2,264.40 and 644.32

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Solution

The fourth proportional to 1,510.88, 2,264.40 and 644.32 is: 965.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.88 : 2,264.40 = 644.32 : x
  2. Step 2: Convert to fraction form
    1,510.88/2,264.40 = 644.32/x
  3. Step 3: Cross multiply
    1,510.88x = 2,264.40 × 644.32
  4. Step 4: Simplify right side
    1,510.88x = 1,458,998.21
  5. Step 5: Solve for x
    x = 1,458,998.21/1,510.88
  6. Step 6: Final answer
    x = 965.66

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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.