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Finding the Fourth Proportional to 657.19, 986.19 and 474.13

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Solution

The fourth proportional to 657.19, 986.19 and 474.13 is: 711.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.19 : 986.19 = 474.13 : x
  2. Step 2: Convert to fraction form
    657.19/986.19 = 474.13/x
  3. Step 3: Cross multiply
    657.19x = 986.19 × 474.13
  4. Step 4: Simplify right side
    657.19x = 467,582.26
  5. Step 5: Solve for x
    x = 467,582.26/657.19
  6. Step 6: Final answer
    x = 711.49

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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.