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Finding the Fourth Proportional to 1,424.58, 1,965.96 and 795.24

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Solution

The fourth proportional to 1,424.58, 1,965.96 and 795.24 is: 1,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.58 : 1,965.96 = 795.24 : x
  2. Step 2: Convert to fraction form
    1,424.58/1,965.96 = 795.24/x
  3. Step 3: Cross multiply
    1,424.58x = 1,965.96 × 795.24
  4. Step 4: Simplify right side
    1,424.58x = 1,563,410.03
  5. Step 5: Solve for x
    x = 1,563,410.03/1,424.58
  6. Step 6: Final answer
    x = 1,097.45

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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.