Home / 1,493.14-2,060.46-829.94

Finding the Fourth Proportional to 1,493.14, 2,060.46 and 829.94

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Solution

The fourth proportional to 1,493.14, 2,060.46 and 829.94 is: 1,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.14 : 2,060.46 = 829.94 : x
  2. Step 2: Convert to fraction form
    1,493.14/2,060.46 = 829.94/x
  3. Step 3: Cross multiply
    1,493.14x = 2,060.46 × 829.94
  4. Step 4: Simplify right side
    1,493.14x = 1,710,058.17
  5. Step 5: Solve for x
    x = 1,710,058.17/1,493.14
  6. Step 6: Final answer
    x = 1,145.28

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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.