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Finding the Fourth Proportional to 1,509.76, 2,264.72 and 414.12

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Solution

The fourth proportional to 1,509.76, 2,264.72 and 414.12 is: 621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.76 : 2,264.72 = 414.12 : x
  2. Step 2: Convert to fraction form
    1,509.76/2,264.72 = 414.12/x
  3. Step 3: Cross multiply
    1,509.76x = 2,264.72 × 414.12
  4. Step 4: Simplify right side
    1,509.76x = 937,865.85
  5. Step 5: Solve for x
    x = 937,865.85/1,509.76
  6. Step 6: Final answer
    x = 621.20

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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.