Home / 1,458.90-2,013.26-829.55

Finding the Fourth Proportional to 1,458.90, 2,013.26 and 829.55

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Solution

The fourth proportional to 1,458.90, 2,013.26 and 829.55 is: 1,144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.90 : 2,013.26 = 829.55 : x
  2. Step 2: Convert to fraction form
    1,458.90/2,013.26 = 829.55/x
  3. Step 3: Cross multiply
    1,458.90x = 2,013.26 × 829.55
  4. Step 4: Simplify right side
    1,458.90x = 1,670,100.72
  5. Step 5: Solve for x
    x = 1,670,100.72/1,458.90
  6. Step 6: Final answer
    x = 1,144.77

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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.