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Finding the Fourth Proportional to 1,509.63, 2,264.13 and 779.13

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Solution

The fourth proportional to 1,509.63, 2,264.13 and 779.13 is: 1,168.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.63 : 2,264.13 = 779.13 : x
  2. Step 2: Convert to fraction form
    1,509.63/2,264.13 = 779.13/x
  3. Step 3: Cross multiply
    1,509.63x = 2,264.13 × 779.13
  4. Step 4: Simplify right side
    1,509.63x = 1,764,051.61
  5. Step 5: Solve for x
    x = 1,764,051.61/1,509.63
  6. Step 6: Final answer
    x = 1,168.53

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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.