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Finding the Fourth Proportional to 1,688.65, 2,533.35 and 518.82

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Solution

The fourth proportional to 1,688.65, 2,533.35 and 518.82 is: 778.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.65 : 2,533.35 = 518.82 : x
  2. Step 2: Convert to fraction form
    1,688.65/2,533.35 = 518.82/x
  3. Step 3: Cross multiply
    1,688.65x = 2,533.35 × 518.82
  4. Step 4: Simplify right side
    1,688.65x = 1,314,352.65
  5. Step 5: Solve for x
    x = 1,314,352.65/1,688.65
  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.