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Finding the Fourth Proportional to 985.35, 1,477.91 and 465.20

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Solution

The fourth proportional to 985.35, 1,477.91 and 465.20 is: 697.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.35 : 1,477.91 = 465.20 : x
  2. Step 2: Convert to fraction form
    985.35/1,477.91 = 465.20/x
  3. Step 3: Cross multiply
    985.35x = 1,477.91 × 465.20
  4. Step 4: Simplify right side
    985.35x = 687,514.02
  5. Step 5: Solve for x
    x = 687,514.02/985.35
  6. Step 6: Final answer
    x = 697.74

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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.