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Finding the Fourth Proportional to 1,509.17, 2,264.88 and 778.64

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Solution

The fourth proportional to 1,509.17, 2,264.88 and 778.64 is: 1,168.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.17 : 2,264.88 = 778.64 : x
  2. Step 2: Convert to fraction form
    1,509.17/2,264.88 = 778.64/x
  3. Step 3: Cross multiply
    1,509.17x = 2,264.88 × 778.64
  4. Step 4: Simplify right side
    1,509.17x = 1,763,526.16
  5. Step 5: Solve for x
    x = 1,763,526.16/1,509.17
  6. Step 6: Final answer
    x = 1,168.54

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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.