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Finding the Fourth Proportional to 1,166.76, 1,610.45 and 669.66

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Solution

The fourth proportional to 1,166.76, 1,610.45 and 669.66 is: 924.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.76 : 1,610.45 = 669.66 : x
  2. Step 2: Convert to fraction form
    1,166.76/1,610.45 = 669.66/x
  3. Step 3: Cross multiply
    1,166.76x = 1,610.45 × 669.66
  4. Step 4: Simplify right side
    1,166.76x = 1,078,450.60
  5. Step 5: Solve for x
    x = 1,078,450.60/1,166.76
  6. Step 6: Final answer
    x = 924.31

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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.