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Finding the Fourth Proportional to 1,341.12, 1,851.54 and 844.19

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Solution

The fourth proportional to 1,341.12, 1,851.54 and 844.19 is: 1,165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.12 : 1,851.54 = 844.19 : x
  2. Step 2: Convert to fraction form
    1,341.12/1,851.54 = 844.19/x
  3. Step 3: Cross multiply
    1,341.12x = 1,851.54 × 844.19
  4. Step 4: Simplify right side
    1,341.12x = 1,563,042.29
  5. Step 5: Solve for x
    x = 1,563,042.29/1,341.12
  6. Step 6: Final answer
    x = 1,165.48

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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.