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Finding the Fourth Proportional to 1,688, 2,532.45 and 533.75

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Solution

The fourth proportional to 1,688, 2,532.45 and 533.75 is: 800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688 : 2,532.45 = 533.75 : x
  2. Step 2: Convert to fraction form
    1,688/2,532.45 = 533.75/x
  3. Step 3: Cross multiply
    1,688x = 2,532.45 × 533.75
  4. Step 4: Simplify right side
    1,688x = 1,351,695.19
  5. Step 5: Solve for x
    x = 1,351,695.19/1,688
  6. Step 6: Final answer
    x = 800.77

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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.