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Finding the Fourth Proportional to 1,688.52, 2,533.10 and 648.48

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Solution

The fourth proportional to 1,688.52, 2,533.10 and 648.48 is: 972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.52 : 2,533.10 = 648.48 : x
  2. Step 2: Convert to fraction form
    1,688.52/2,533.10 = 648.48/x
  3. Step 3: Cross multiply
    1,688.52x = 2,533.10 × 648.48
  4. Step 4: Simplify right side
    1,688.52x = 1,642,661.45
  5. Step 5: Solve for x
    x = 1,642,661.45/1,688.52
  6. Step 6: Final answer
    x = 972.84

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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.