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Finding the Fourth Proportional to 1,688.40, 2,532.36 and 534

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Solution

The fourth proportional to 1,688.40, 2,532.36 and 534 is: 800.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.40 : 2,532.36 = 534 : x
  2. Step 2: Convert to fraction form
    1,688.40/2,532.36 = 534/x
  3. Step 3: Cross multiply
    1,688.40x = 2,532.36 × 534
  4. Step 4: Simplify right side
    1,688.40x = 1,352,280.24
  5. Step 5: Solve for x
    x = 1,352,280.24/1,688.40
  6. Step 6: Final answer
    x = 800.92

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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.