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Finding the Fourth Proportional to 1,367.64, 1,887.21 and 778.19

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Solution

The fourth proportional to 1,367.64, 1,887.21 and 778.19 is: 1,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.64 : 1,887.21 = 778.19 : x
  2. Step 2: Convert to fraction form
    1,367.64/1,887.21 = 778.19/x
  3. Step 3: Cross multiply
    1,367.64x = 1,887.21 × 778.19
  4. Step 4: Simplify right side
    1,367.64x = 1,468,598.51
  5. Step 5: Solve for x
    x = 1,468,598.51/1,367.64
  6. Step 6: Final answer
    x = 1,073.82

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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.