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Finding the Fourth Proportional to 1,089.40, 1,503.43 and 617.11

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Solution

The fourth proportional to 1,089.40, 1,503.43 and 617.11 is: 851.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.40 : 1,503.43 = 617.11 : x
  2. Step 2: Convert to fraction form
    1,089.40/1,503.43 = 617.11/x
  3. Step 3: Cross multiply
    1,089.40x = 1,503.43 × 617.11
  4. Step 4: Simplify right side
    1,089.40x = 927,783.22
  5. Step 5: Solve for x
    x = 927,783.22/1,089.40
  6. Step 6: Final answer
    x = 851.65

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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.