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Finding the Fourth Proportional to 985.55, 1,477.52 and 465.27

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Solution

The fourth proportional to 985.55, 1,477.52 and 465.27 is: 697.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.55 : 1,477.52 = 465.27 : x
  2. Step 2: Convert to fraction form
    985.55/1,477.52 = 465.27/x
  3. Step 3: Cross multiply
    985.55x = 1,477.52 × 465.27
  4. Step 4: Simplify right side
    985.55x = 687,443.40
  5. Step 5: Solve for x
    x = 687,443.40/985.55
  6. Step 6: Final answer
    x = 697.53

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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.