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Finding the Fourth Proportional to 1,595.70, 2,393.14 and 774.15

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Solution

The fourth proportional to 1,595.70, 2,393.14 and 774.15 is: 1,161.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.70 : 2,393.14 = 774.15 : x
  2. Step 2: Convert to fraction form
    1,595.70/2,393.14 = 774.15/x
  3. Step 3: Cross multiply
    1,595.70x = 2,393.14 × 774.15
  4. Step 4: Simplify right side
    1,595.70x = 1,852,649.33
  5. Step 5: Solve for x
    x = 1,852,649.33/1,595.70
  6. Step 6: Final answer
    x = 1,161.03

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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.