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Finding the Fourth Proportional to 1,509.19, 2,264.18 and 522.21

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Solution

The fourth proportional to 1,509.19, 2,264.18 and 522.21 is: 783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.19 : 2,264.18 = 522.21 : x
  2. Step 2: Convert to fraction form
    1,509.19/2,264.18 = 522.21/x
  3. Step 3: Cross multiply
    1,509.19x = 2,264.18 × 522.21
  4. Step 4: Simplify right side
    1,509.19x = 1,182,377.44
  5. Step 5: Solve for x
    x = 1,182,377.44/1,509.19
  6. Step 6: Final answer
    x = 783.45

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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.