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Finding the Fourth Proportional to 1,686.72, 2,530.81 and 646.85

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Solution

The fourth proportional to 1,686.72, 2,530.81 and 646.85 is: 970.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.72 : 2,530.81 = 646.85 : x
  2. Step 2: Convert to fraction form
    1,686.72/2,530.81 = 646.85/x
  3. Step 3: Cross multiply
    1,686.72x = 2,530.81 × 646.85
  4. Step 4: Simplify right side
    1,686.72x = 1,637,061.58
  5. Step 5: Solve for x
    x = 1,637,061.58/1,686.72
  6. Step 6: Final answer
    x = 970.56

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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.