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Finding the Fourth Proportional to 1,598.74, 2,206.14 and 890.53

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Solution

The fourth proportional to 1,598.74, 2,206.14 and 890.53 is: 1,228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.74 : 2,206.14 = 890.53 : x
  2. Step 2: Convert to fraction form
    1,598.74/2,206.14 = 890.53/x
  3. Step 3: Cross multiply
    1,598.74x = 2,206.14 × 890.53
  4. Step 4: Simplify right side
    1,598.74x = 1,964,625.00
  5. Step 5: Solve for x
    x = 1,964,625.00/1,598.74
  6. Step 6: Final answer
    x = 1,228.86

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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.