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Finding the Fourth Proportional to 1,390.49, 2,086.00 and 525.41

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Solution

The fourth proportional to 1,390.49, 2,086.00 and 525.41 is: 788.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.49 : 2,086.00 = 525.41 : x
  2. Step 2: Convert to fraction form
    1,390.49/2,086.00 = 525.41/x
  3. Step 3: Cross multiply
    1,390.49x = 2,086.00 × 525.41
  4. Step 4: Simplify right side
    1,390.49x = 1,095,993.52
  5. Step 5: Solve for x
    x = 1,095,993.52/1,390.49
  6. Step 6: Final answer
    x = 788.21

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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.