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Finding the Fourth Proportional to 1,018.16, 1,406.22 and 686.01

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Solution

The fourth proportional to 1,018.16, 1,406.22 and 686.01 is: 947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.16 : 1,406.22 = 686.01 : x
  2. Step 2: Convert to fraction form
    1,018.16/1,406.22 = 686.01/x
  3. Step 3: Cross multiply
    1,018.16x = 1,406.22 × 686.01
  4. Step 4: Simplify right side
    1,018.16x = 964,680.98
  5. Step 5: Solve for x
    x = 964,680.98/1,018.16
  6. Step 6: Final answer
    x = 947.47

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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.