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Finding the Fourth Proportional to 1,095.95, 1,643.92 and 687.68

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Solution

The fourth proportional to 1,095.95, 1,643.92 and 687.68 is: 1,031.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.95 : 1,643.92 = 687.68 : x
  2. Step 2: Convert to fraction form
    1,095.95/1,643.92 = 687.68/x
  3. Step 3: Cross multiply
    1,095.95x = 1,643.92 × 687.68
  4. Step 4: Simplify right side
    1,095.95x = 1,130,486.75
  5. Step 5: Solve for x
    x = 1,130,486.75/1,095.95
  6. Step 6: Final answer
    x = 1,031.51

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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.