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Finding the Fourth Proportional to 1,420.24, 2,130.36 and 804.24

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Solution

The fourth proportional to 1,420.24, 2,130.36 and 804.24 is: 1,206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.24 : 2,130.36 = 804.24 : x
  2. Step 2: Convert to fraction form
    1,420.24/2,130.36 = 804.24/x
  3. Step 3: Cross multiply
    1,420.24x = 2,130.36 × 804.24
  4. Step 4: Simplify right side
    1,420.24x = 1,713,320.73
  5. Step 5: Solve for x
    x = 1,713,320.73/1,420.24
  6. Step 6: Final answer
    x = 1,206.36

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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.