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Finding the Fourth Proportional to 1,645.76, 2,465.76 and 778.88

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Solution

The fourth proportional to 1,645.76, 2,465.76 and 778.88 is: 1,166.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.76 : 2,465.76 = 778.88 : x
  2. Step 2: Convert to fraction form
    1,645.76/2,465.76 = 778.88/x
  3. Step 3: Cross multiply
    1,645.76x = 2,465.76 × 778.88
  4. Step 4: Simplify right side
    1,645.76x = 1,920,531.15
  5. Step 5: Solve for x
    x = 1,920,531.15/1,645.76
  6. Step 6: Final answer
    x = 1,166.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.