Home / 1,459.04-2,013.57-829.58

Finding the Fourth Proportional to 1,459.04, 2,013.57 and 829.58

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Solution

The fourth proportional to 1,459.04, 2,013.57 and 829.58 is: 1,144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.04 : 2,013.57 = 829.58 : x
  2. Step 2: Convert to fraction form
    1,459.04/2,013.57 = 829.58/x
  3. Step 3: Cross multiply
    1,459.04x = 2,013.57 × 829.58
  4. Step 4: Simplify right side
    1,459.04x = 1,670,407.33
  5. Step 5: Solve for x
    x = 1,670,407.33/1,459.04
  6. Step 6: Final answer
    x = 1,144.87

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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.