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Finding the Fourth Proportional to 985.77, 1,477.34 and 523.06

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Solution

The fourth proportional to 985.77, 1,477.34 and 523.06 is: 783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.77 : 1,477.34 = 523.06 : x
  2. Step 2: Convert to fraction form
    985.77/1,477.34 = 523.06/x
  3. Step 3: Cross multiply
    985.77x = 1,477.34 × 523.06
  4. Step 4: Simplify right side
    985.77x = 772,733.11
  5. Step 5: Solve for x
    x = 772,733.11/985.77
  6. Step 6: Final answer
    x = 783.89

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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.