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Finding the Fourth Proportional to 1,458.55, 2,012.82 and 829.18

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Solution

The fourth proportional to 1,458.55, 2,012.82 and 829.18 is: 1,144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.55 : 2,012.82 = 829.18 : x
  2. Step 2: Convert to fraction form
    1,458.55/2,012.82 = 829.18/x
  3. Step 3: Cross multiply
    1,458.55x = 2,012.82 × 829.18
  4. Step 4: Simplify right side
    1,458.55x = 1,668,990.09
  5. Step 5: Solve for x
    x = 1,668,990.09/1,458.55
  6. Step 6: Final answer
    x = 1,144.28

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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.