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Finding the Fourth Proportional to 1,509.24, 2,264.04 and 535.14

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Solution

The fourth proportional to 1,509.24, 2,264.04 and 535.14 is: 802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.24 : 2,264.04 = 535.14 : x
  2. Step 2: Convert to fraction form
    1,509.24/2,264.04 = 535.14/x
  3. Step 3: Cross multiply
    1,509.24x = 2,264.04 × 535.14
  4. Step 4: Simplify right side
    1,509.24x = 1,211,578.37
  5. Step 5: Solve for x
    x = 1,211,578.37/1,509.24
  6. Step 6: Final answer
    x = 802.77

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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.