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Finding the Fourth Proportional to 1,686.99, 2,528.75 and 646.71

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Solution

The fourth proportional to 1,686.99, 2,528.75 and 646.71 is: 969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.99 : 2,528.75 = 646.71 : x
  2. Step 2: Convert to fraction form
    1,686.99/2,528.75 = 646.71/x
  3. Step 3: Cross multiply
    1,686.99x = 2,528.75 × 646.71
  4. Step 4: Simplify right side
    1,686.99x = 1,635,369.53
  5. Step 5: Solve for x
    x = 1,635,369.53/1,686.99
  6. Step 6: Final answer
    x = 969.40

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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.