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Finding the Fourth Proportional to 1,656.44, 2,484.66 and 502.19

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Solution

The fourth proportional to 1,656.44, 2,484.66 and 502.19 is: 753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.44 : 2,484.66 = 502.19 : x
  2. Step 2: Convert to fraction form
    1,656.44/2,484.66 = 502.19/x
  3. Step 3: Cross multiply
    1,656.44x = 2,484.66 × 502.19
  4. Step 4: Simplify right side
    1,656.44x = 1,247,771.41
  5. Step 5: Solve for x
    x = 1,247,771.41/1,656.44
  6. Step 6: Final answer
    x = 753.29

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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.