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Finding the Fourth Proportional to 1,688.29, 2,532.62 and 649.18

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Solution

The fourth proportional to 1,688.29, 2,532.62 and 649.18 is: 973.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.29 : 2,532.62 = 649.18 : x
  2. Step 2: Convert to fraction form
    1,688.29/2,532.62 = 649.18/x
  3. Step 3: Cross multiply
    1,688.29x = 2,532.62 × 649.18
  4. Step 4: Simplify right side
    1,688.29x = 1,644,113.59
  5. Step 5: Solve for x
    x = 1,644,113.59/1,688.29
  6. Step 6: Final answer
    x = 973.83

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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.