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Finding the Fourth Proportional to 1,412.10, 1,948.26 and 822.53

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Solution

The fourth proportional to 1,412.10, 1,948.26 and 822.53 is: 1,134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.10 : 1,948.26 = 822.53 : x
  2. Step 2: Convert to fraction form
    1,412.10/1,948.26 = 822.53/x
  3. Step 3: Cross multiply
    1,412.10x = 1,948.26 × 822.53
  4. Step 4: Simplify right side
    1,412.10x = 1,602,502.30
  5. Step 5: Solve for x
    x = 1,602,502.30/1,412.10
  6. Step 6: Final answer
    x = 1,134.84

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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.