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Finding the Fourth Proportional to 985.56, 1,477.90 and 574.98

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Solution

The fourth proportional to 985.56, 1,477.90 and 574.98 is: 862.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.56 : 1,477.90 = 574.98 : x
  2. Step 2: Convert to fraction form
    985.56/1,477.90 = 574.98/x
  3. Step 3: Cross multiply
    985.56x = 1,477.90 × 574.98
  4. Step 4: Simplify right side
    985.56x = 849,762.94
  5. Step 5: Solve for x
    x = 849,762.94/985.56
  6. Step 6: Final answer
    x = 862.21

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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.