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Finding the Fourth Proportional to 1,610.38, 2,415.56 and 456.13

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Solution

The fourth proportional to 1,610.38, 2,415.56 and 456.13 is: 684.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.38 : 2,415.56 = 456.13 : x
  2. Step 2: Convert to fraction form
    1,610.38/2,415.56 = 456.13/x
  3. Step 3: Cross multiply
    1,610.38x = 2,415.56 × 456.13
  4. Step 4: Simplify right side
    1,610.38x = 1,101,798.45
  5. Step 5: Solve for x
    x = 1,101,798.45/1,610.38
  6. Step 6: Final answer
    x = 684.19

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1.5x scale

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.