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Finding the Fourth Proportional to 985.09, 1,477.63 and 291.77

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Solution

The fourth proportional to 985.09, 1,477.63 and 291.77 is: 437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.09 : 1,477.63 = 291.77 : x
  2. Step 2: Convert to fraction form
    985.09/1,477.63 = 291.77/x
  3. Step 3: Cross multiply
    985.09x = 1,477.63 × 291.77
  4. Step 4: Simplify right side
    985.09x = 431,122.88
  5. Step 5: Solve for x
    x = 431,122.88/985.09
  6. Step 6: Final answer
    x = 437.65

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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.