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Finding the Fourth Proportional to 1,393.04, 1,922.77 and 803.67

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Solution

The fourth proportional to 1,393.04, 1,922.77 and 803.67 is: 1,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.04 : 1,922.77 = 803.67 : x
  2. Step 2: Convert to fraction form
    1,393.04/1,922.77 = 803.67/x
  3. Step 3: Cross multiply
    1,393.04x = 1,922.77 × 803.67
  4. Step 4: Simplify right side
    1,393.04x = 1,545,272.57
  5. Step 5: Solve for x
    x = 1,545,272.57/1,393.04
  6. Step 6: Final answer
    x = 1,109.28

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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.