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Finding the Fourth Proportional to 1,509.32, 2,264.21 and 469.20

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Solution

The fourth proportional to 1,509.32, 2,264.21 and 469.20 is: 703.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.32 : 2,264.21 = 469.20 : x
  2. Step 2: Convert to fraction form
    1,509.32/2,264.21 = 469.20/x
  3. Step 3: Cross multiply
    1,509.32x = 2,264.21 × 469.20
  4. Step 4: Simplify right side
    1,509.32x = 1,062,364.99
  5. Step 5: Solve for x
    x = 1,062,364.99/1,509.32
  6. Step 6: Final answer
    x = 703.87

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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.