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Finding the Fourth Proportional to 1,509.88, 2,264.71 and 414.25

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Solution

The fourth proportional to 1,509.88, 2,264.71 and 414.25 is: 621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.88 : 2,264.71 = 414.25 : x
  2. Step 2: Convert to fraction form
    1,509.88/2,264.71 = 414.25/x
  3. Step 3: Cross multiply
    1,509.88x = 2,264.71 × 414.25
  4. Step 4: Simplify right side
    1,509.88x = 938,156.12
  5. Step 5: Solve for x
    x = 938,156.12/1,509.88
  6. Step 6: Final answer
    x = 621.34

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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.