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Finding the Fourth Proportional to 1,018.12, 1,526.46 and 433.12

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Solution

The fourth proportional to 1,018.12, 1,526.46 and 433.12 is: 649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.12 : 1,526.46 = 433.12 : x
  2. Step 2: Convert to fraction form
    1,018.12/1,526.46 = 433.12/x
  3. Step 3: Cross multiply
    1,018.12x = 1,526.46 × 433.12
  4. Step 4: Simplify right side
    1,018.12x = 661,140.36
  5. Step 5: Solve for x
    x = 661,140.36/1,018.12
  6. Step 6: Final answer
    x = 649.37

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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.