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Finding the Fourth Proportional to 986.13, 1,477.06 and 465.35

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Solution

The fourth proportional to 986.13, 1,477.06 and 465.35 is: 697.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.13 : 1,477.06 = 465.35 : x
  2. Step 2: Convert to fraction form
    986.13/1,477.06 = 465.35/x
  3. Step 3: Cross multiply
    986.13x = 1,477.06 × 465.35
  4. Step 4: Simplify right side
    986.13x = 687,349.87
  5. Step 5: Solve for x
    x = 687,349.87/986.13
  6. Step 6: Final answer
    x = 697.02

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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.