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Finding the Fourth Proportional to 1,420.56, 2,130.78 and 433.34

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Solution

The fourth proportional to 1,420.56, 2,130.78 and 433.34 is: 649.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.56 : 2,130.78 = 433.34 : x
  2. Step 2: Convert to fraction form
    1,420.56/2,130.78 = 433.34/x
  3. Step 3: Cross multiply
    1,420.56x = 2,130.78 × 433.34
  4. Step 4: Simplify right side
    1,420.56x = 923,341.55
  5. Step 5: Solve for x
    x = 923,341.55/1,420.56
  6. Step 6: Final answer
    x = 649.98

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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.