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Finding the Fourth Proportional to 1,599.39, 2,206.98 and 900.77

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Solution

The fourth proportional to 1,599.39, 2,206.98 and 900.77 is: 1,242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.39 : 2,206.98 = 900.77 : x
  2. Step 2: Convert to fraction form
    1,599.39/2,206.98 = 900.77/x
  3. Step 3: Cross multiply
    1,599.39x = 2,206.98 × 900.77
  4. Step 4: Simplify right side
    1,599.39x = 1,987,970.34
  5. Step 5: Solve for x
    x = 1,987,970.34/1,599.39
  6. Step 6: Final answer
    x = 1,242.96

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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.