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Finding the Fourth Proportional to 1,166.07, 1,609.28 and 642.21

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Solution

The fourth proportional to 1,166.07, 1,609.28 and 642.21 is: 886.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.07 : 1,609.28 = 642.21 : x
  2. Step 2: Convert to fraction form
    1,166.07/1,609.28 = 642.21/x
  3. Step 3: Cross multiply
    1,166.07x = 1,609.28 × 642.21
  4. Step 4: Simplify right side
    1,166.07x = 1,033,492.50
  5. Step 5: Solve for x
    x = 1,033,492.50/1,166.07
  6. Step 6: Final answer
    x = 886.30

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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.