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Finding the Fourth Proportional to 1,329.30, 1,832.53 and 935.10

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Solution

The fourth proportional to 1,329.30, 1,832.53 and 935.10 is: 1,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.30 : 1,832.53 = 935.10 : x
  2. Step 2: Convert to fraction form
    1,329.30/1,832.53 = 935.10/x
  3. Step 3: Cross multiply
    1,329.30x = 1,832.53 × 935.10
  4. Step 4: Simplify right side
    1,329.30x = 1,713,601.14
  5. Step 5: Solve for x
    x = 1,713,601.14/1,329.30
  6. Step 6: Final answer
    x = 1,289.10

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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.