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Finding the Fourth Proportional to 1,326.21, 1,830.18 and 795.12

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Solution

The fourth proportional to 1,326.21, 1,830.18 and 795.12 is: 1,097.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.21 : 1,830.18 = 795.12 : x
  2. Step 2: Convert to fraction form
    1,326.21/1,830.18 = 795.12/x
  3. Step 3: Cross multiply
    1,326.21x = 1,830.18 × 795.12
  4. Step 4: Simplify right side
    1,326.21x = 1,455,212.72
  5. Step 5: Solve for x
    x = 1,455,212.72/1,326.21
  6. Step 6: Final answer
    x = 1,097.27

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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.