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Finding the Fourth Proportional to 1,525.75, 2,289.77 and 795.27

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Solution

The fourth proportional to 1,525.75, 2,289.77 and 795.27 is: 1,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.75 : 2,289.77 = 795.27 : x
  2. Step 2: Convert to fraction form
    1,525.75/2,289.77 = 795.27/x
  3. Step 3: Cross multiply
    1,525.75x = 2,289.77 × 795.27
  4. Step 4: Simplify right side
    1,525.75x = 1,820,985.39
  5. Step 5: Solve for x
    x = 1,820,985.39/1,525.75
  6. Step 6: Final answer
    x = 1,193.50

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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.