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Finding the Fourth Proportional to 985.55, 1,477.85 and 465.39

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Solution

The fourth proportional to 985.55, 1,477.85 and 465.39 is: 697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.55 : 1,477.85 = 465.39 : x
  2. Step 2: Convert to fraction form
    985.55/1,477.85 = 465.39/x
  3. Step 3: Cross multiply
    985.55x = 1,477.85 × 465.39
  4. Step 4: Simplify right side
    985.55x = 687,774.28
  5. Step 5: Solve for x
    x = 687,774.28/985.55
  6. Step 6: Final answer
    x = 697.86

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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.