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Finding the Fourth Proportional to 1,326.23, 1,830.40 and 954.44

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Solution

The fourth proportional to 1,326.23, 1,830.40 and 954.44 is: 1,317.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.23 : 1,830.40 = 954.44 : x
  2. Step 2: Convert to fraction form
    1,326.23/1,830.40 = 954.44/x
  3. Step 3: Cross multiply
    1,326.23x = 1,830.40 × 954.44
  4. Step 4: Simplify right side
    1,326.23x = 1,747,002.30
  5. Step 5: Solve for x
    x = 1,747,002.30/1,326.23
  6. Step 6: Final answer
    x = 1,317.27

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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.