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Finding the Fourth Proportional to 1,230.38, 1,700.10 and 983.74

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Solution

The fourth proportional to 1,230.38, 1,700.10 and 983.74 is: 1,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.38 : 1,700.10 = 983.74 : x
  2. Step 2: Convert to fraction form
    1,230.38/1,700.10 = 983.74/x
  3. Step 3: Cross multiply
    1,230.38x = 1,700.10 × 983.74
  4. Step 4: Simplify right side
    1,230.38x = 1,672,456.37
  5. Step 5: Solve for x
    x = 1,672,456.37/1,230.38
  6. Step 6: Final answer
    x = 1,359.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.