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Finding the Fourth Proportional to 1,688.84, 2,534.07 and 649.35

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Solution

The fourth proportional to 1,688.84, 2,534.07 and 649.35 is: 974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.84 : 2,534.07 = 649.35 : x
  2. Step 2: Convert to fraction form
    1,688.84/2,534.07 = 649.35/x
  3. Step 3: Cross multiply
    1,688.84x = 2,534.07 × 649.35
  4. Step 4: Simplify right side
    1,688.84x = 1,645,498.35
  5. Step 5: Solve for x
    x = 1,645,498.35/1,688.84
  6. Step 6: Final answer
    x = 974.34

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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.