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Finding the Fourth Proportional to 1,166.57, 1,610.28 and 773.72

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Solution

The fourth proportional to 1,166.57, 1,610.28 and 773.72 is: 1,068.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.57 : 1,610.28 = 773.72 : x
  2. Step 2: Convert to fraction form
    1,166.57/1,610.28 = 773.72/x
  3. Step 3: Cross multiply
    1,166.57x = 1,610.28 × 773.72
  4. Step 4: Simplify right side
    1,166.57x = 1,245,905.84
  5. Step 5: Solve for x
    x = 1,245,905.84/1,166.57
  6. Step 6: Final answer
    x = 1,068.01

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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.