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Finding the Fourth Proportional to 1,020.17, 1,407.43 and 665.98

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Solution

The fourth proportional to 1,020.17, 1,407.43 and 665.98 is: 918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.17 : 1,407.43 = 665.98 : x
  2. Step 2: Convert to fraction form
    1,020.17/1,407.43 = 665.98/x
  3. Step 3: Cross multiply
    1,020.17x = 1,407.43 × 665.98
  4. Step 4: Simplify right side
    1,020.17x = 937,311.78
  5. Step 5: Solve for x
    x = 937,311.78/1,020.17
  6. Step 6: Final answer
    x = 918.78

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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.