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Finding the Fourth Proportional to 1,192.15, 1,788.23 and 644.59

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Solution

The fourth proportional to 1,192.15, 1,788.23 and 644.59 is: 966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.15 : 1,788.23 = 644.59 : x
  2. Step 2: Convert to fraction form
    1,192.15/1,788.23 = 644.59/x
  3. Step 3: Cross multiply
    1,192.15x = 1,788.23 × 644.59
  4. Step 4: Simplify right side
    1,192.15x = 1,152,675.18
  5. Step 5: Solve for x
    x = 1,152,675.18/1,192.15
  6. Step 6: Final answer
    x = 966.89

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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.