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Finding the Fourth Proportional to 1,700.10, 2,549.79 and 604.53

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Solution

The fourth proportional to 1,700.10, 2,549.79 and 604.53 is: 906.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.10 : 2,549.79 = 604.53 : x
  2. Step 2: Convert to fraction form
    1,700.10/2,549.79 = 604.53/x
  3. Step 3: Cross multiply
    1,700.10x = 2,549.79 × 604.53
  4. Step 4: Simplify right side
    1,700.10x = 1,541,424.55
  5. Step 5: Solve for x
    x = 1,541,424.55/1,700.10
  6. Step 6: Final answer
    x = 906.67

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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.