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Finding the Fourth Proportional to 1,018.98, 1,406.18 and 553.23

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Solution

The fourth proportional to 1,018.98, 1,406.18 and 553.23 is: 763.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.98 : 1,406.18 = 553.23 : x
  2. Step 2: Convert to fraction form
    1,018.98/1,406.18 = 553.23/x
  3. Step 3: Cross multiply
    1,018.98x = 1,406.18 × 553.23
  4. Step 4: Simplify right side
    1,018.98x = 777,938.20
  5. Step 5: Solve for x
    x = 777,938.20/1,018.98
  6. Step 6: Final answer
    x = 763.45

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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.