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Finding the Fourth Proportional to 1,437.66, 2,158.65 and 822.06

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Solution

The fourth proportional to 1,437.66, 2,158.65 and 822.06 is: 1,234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.66 : 2,158.65 = 822.06 : x
  2. Step 2: Convert to fraction form
    1,437.66/2,158.65 = 822.06/x
  3. Step 3: Cross multiply
    1,437.66x = 2,158.65 × 822.06
  4. Step 4: Simplify right side
    1,437.66x = 1,774,539.82
  5. Step 5: Solve for x
    x = 1,774,539.82/1,437.66
  6. Step 6: Final answer
    x = 1,234.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.