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Finding the Fourth Proportional to 1,656.84, 2,485.50 and 502.44

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Solution

The fourth proportional to 1,656.84, 2,485.50 and 502.44 is: 753.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.84 : 2,485.50 = 502.44 : x
  2. Step 2: Convert to fraction form
    1,656.84/2,485.50 = 502.44/x
  3. Step 3: Cross multiply
    1,656.84x = 2,485.50 × 502.44
  4. Step 4: Simplify right side
    1,656.84x = 1,248,814.62
  5. Step 5: Solve for x
    x = 1,248,814.62/1,656.84
  6. Step 6: Final answer
    x = 753.73

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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.