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Finding the Fourth Proportional to 1,085.21, 1,626.99 and 500.59

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Solution

The fourth proportional to 1,085.21, 1,626.99 and 500.59 is: 750.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.21 : 1,626.99 = 500.59 : x
  2. Step 2: Convert to fraction form
    1,085.21/1,626.99 = 500.59/x
  3. Step 3: Cross multiply
    1,085.21x = 1,626.99 × 500.59
  4. Step 4: Simplify right side
    1,085.21x = 814,454.92
  5. Step 5: Solve for x
    x = 814,454.92/1,085.21
  6. Step 6: Final answer
    x = 750.50

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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.