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Finding the Fourth Proportional to 1,688.71, 2,534.48 and 867.77

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Solution

The fourth proportional to 1,688.71, 2,534.48 and 867.77 is: 1,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.71 : 2,534.48 = 867.77 : x
  2. Step 2: Convert to fraction form
    1,688.71/2,534.48 = 867.77/x
  3. Step 3: Cross multiply
    1,688.71x = 2,534.48 × 867.77
  4. Step 4: Simplify right side
    1,688.71x = 2,199,345.71
  5. Step 5: Solve for x
    x = 2,199,345.71/1,688.71
  6. Step 6: Final answer
    x = 1,302.38

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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.