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Finding the Fourth Proportional to 1,325.55, 1,829.21 and 766.19

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Solution

The fourth proportional to 1,325.55, 1,829.21 and 766.19 is: 1,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.55 : 1,829.21 = 766.19 : x
  2. Step 2: Convert to fraction form
    1,325.55/1,829.21 = 766.19/x
  3. Step 3: Cross multiply
    1,325.55x = 1,829.21 × 766.19
  4. Step 4: Simplify right side
    1,325.55x = 1,401,509.43
  5. Step 5: Solve for x
    x = 1,401,509.43/1,325.55
  6. Step 6: Final answer
    x = 1,057.30

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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.