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Finding the Fourth Proportional to 1,509.83, 2,264.10 and 535.67

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Solution

The fourth proportional to 1,509.83, 2,264.10 and 535.67 is: 803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.83 : 2,264.10 = 535.67 : x
  2. Step 2: Convert to fraction form
    1,509.83/2,264.10 = 535.67/x
  3. Step 3: Cross multiply
    1,509.83x = 2,264.10 × 535.67
  4. Step 4: Simplify right side
    1,509.83x = 1,212,810.45
  5. Step 5: Solve for x
    x = 1,212,810.45/1,509.83
  6. Step 6: Final answer
    x = 803.28

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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.