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Finding the Fourth Proportional to 1,018.07, 1,404.94 and 552.32

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Solution

The fourth proportional to 1,018.07, 1,404.94 and 552.32 is: 762.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.07 : 1,404.94 = 552.32 : x
  2. Step 2: Convert to fraction form
    1,018.07/1,404.94 = 552.32/x
  3. Step 3: Cross multiply
    1,018.07x = 1,404.94 × 552.32
  4. Step 4: Simplify right side
    1,018.07x = 775,976.46
  5. Step 5: Solve for x
    x = 775,976.46/1,018.07
  6. Step 6: Final answer
    x = 762.20

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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.