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Finding the Fourth Proportional to 1,688.49, 2,533.14 and 592.97

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Solution

The fourth proportional to 1,688.49, 2,533.14 and 592.97 is: 889.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.49 : 2,533.14 = 592.97 : x
  2. Step 2: Convert to fraction form
    1,688.49/2,533.14 = 592.97/x
  3. Step 3: Cross multiply
    1,688.49x = 2,533.14 × 592.97
  4. Step 4: Simplify right side
    1,688.49x = 1,502,063.36
  5. Step 5: Solve for x
    x = 1,502,063.36/1,688.49
  6. Step 6: Final answer
    x = 889.59

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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.