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Finding the Fourth Proportional to 1,688.77, 2,533.47 and 648.73

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Solution

The fourth proportional to 1,688.77, 2,533.47 and 648.73 is: 973.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.77 : 2,533.47 = 648.73 : x
  2. Step 2: Convert to fraction form
    1,688.77/2,533.47 = 648.73/x
  3. Step 3: Cross multiply
    1,688.77x = 2,533.47 × 648.73
  4. Step 4: Simplify right side
    1,688.77x = 1,643,537.99
  5. Step 5: Solve for x
    x = 1,643,537.99/1,688.77
  6. Step 6: Final answer
    x = 973.22

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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.