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Finding the Fourth Proportional to 1,427.64, 1,970.12 and 798.14

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Solution

The fourth proportional to 1,427.64, 1,970.12 and 798.14 is: 1,101.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.64 : 1,970.12 = 798.14 : x
  2. Step 2: Convert to fraction form
    1,427.64/1,970.12 = 798.14/x
  3. Step 3: Cross multiply
    1,427.64x = 1,970.12 × 798.14
  4. Step 4: Simplify right side
    1,427.64x = 1,572,417.74
  5. Step 5: Solve for x
    x = 1,572,417.74/1,427.64
  6. Step 6: Final answer
    x = 1,101.41

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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.