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Finding the Fourth Proportional to 1,645.06, 2,468.07 and 778.18

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Solution

The fourth proportional to 1,645.06, 2,468.07 and 778.18 is: 1,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.06 : 2,468.07 = 778.18 : x
  2. Step 2: Convert to fraction form
    1,645.06/2,468.07 = 778.18/x
  3. Step 3: Cross multiply
    1,645.06x = 2,468.07 × 778.18
  4. Step 4: Simplify right side
    1,645.06x = 1,920,602.71
  5. Step 5: Solve for x
    x = 1,920,602.71/1,645.06
  6. Step 6: Final answer
    x = 1,167.50

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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.