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Finding the Fourth Proportional to 1,166.46, 1,609.74 and 642.48

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Solution

The fourth proportional to 1,166.46, 1,609.74 and 642.48 is: 886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.46 : 1,609.74 = 642.48 : x
  2. Step 2: Convert to fraction form
    1,166.46/1,609.74 = 642.48/x
  3. Step 3: Cross multiply
    1,166.46x = 1,609.74 × 642.48
  4. Step 4: Simplify right side
    1,166.46x = 1,034,225.76
  5. Step 5: Solve for x
    x = 1,034,225.76/1,166.46
  6. Step 6: Final answer
    x = 886.64

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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.