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Finding the Fourth Proportional to 1,506.08, 2,259.38 and 518.84

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Solution

The fourth proportional to 1,506.08, 2,259.38 and 518.84 is: 778.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.08 : 2,259.38 = 518.84 : x
  2. Step 2: Convert to fraction form
    1,506.08/2,259.38 = 518.84/x
  3. Step 3: Cross multiply
    1,506.08x = 2,259.38 × 518.84
  4. Step 4: Simplify right side
    1,506.08x = 1,172,256.72
  5. Step 5: Solve for x
    x = 1,172,256.72/1,506.08
  6. Step 6: Final answer
    x = 778.35

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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.