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Finding the Fourth Proportional to 1,685.96, 2,528.93 and 712.07

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Solution

The fourth proportional to 1,685.96, 2,528.93 and 712.07 is: 1,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.96 : 2,528.93 = 712.07 : x
  2. Step 2: Convert to fraction form
    1,685.96/2,528.93 = 712.07/x
  3. Step 3: Cross multiply
    1,685.96x = 2,528.93 × 712.07
  4. Step 4: Simplify right side
    1,685.96x = 1,800,764.32
  5. Step 5: Solve for x
    x = 1,800,764.32/1,685.96
  6. Step 6: Final answer
    x = 1,068.10

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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.