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Finding the Fourth Proportional to 985.34, 1,477.97 and 573.65

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Solution

The fourth proportional to 985.34, 1,477.97 and 573.65 is: 860.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.34 : 1,477.97 = 573.65 : x
  2. Step 2: Convert to fraction form
    985.34/1,477.97 = 573.65/x
  3. Step 3: Cross multiply
    985.34x = 1,477.97 × 573.65
  4. Step 4: Simplify right side
    985.34x = 847,834.62
  5. Step 5: Solve for x
    x = 847,834.62/985.34
  6. Step 6: Final answer
    x = 860.45

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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.