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Finding the Fourth Proportional to 1,165.15, 1,607.90 and 641.18

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Solution

The fourth proportional to 1,165.15, 1,607.90 and 641.18 is: 884.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.15 : 1,607.90 = 641.18 : x
  2. Step 2: Convert to fraction form
    1,165.15/1,607.90 = 641.18/x
  3. Step 3: Cross multiply
    1,165.15x = 1,607.90 × 641.18
  4. Step 4: Simplify right side
    1,165.15x = 1,030,945.28
  5. Step 5: Solve for x
    x = 1,030,945.28/1,165.15
  6. Step 6: Final answer
    x = 884.82

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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.