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Finding the Fourth Proportional to 1,166.47, 1,609.53 and 694.18

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Solution

The fourth proportional to 1,166.47, 1,609.53 and 694.18 is: 957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.47 : 1,609.53 = 694.18 : x
  2. Step 2: Convert to fraction form
    1,166.47/1,609.53 = 694.18/x
  3. Step 3: Cross multiply
    1,166.47x = 1,609.53 × 694.18
  4. Step 4: Simplify right side
    1,166.47x = 1,117,303.54
  5. Step 5: Solve for x
    x = 1,117,303.54/1,166.47
  6. Step 6: Final answer
    x = 957.85

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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.