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Finding the Fourth Proportional to 931.56, 1,398.06 and 657.06

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Solution

The fourth proportional to 931.56, 1,398.06 and 657.06 is: 986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.56 : 1,398.06 = 657.06 : x
  2. Step 2: Convert to fraction form
    931.56/1,398.06 = 657.06/x
  3. Step 3: Cross multiply
    931.56x = 1,398.06 × 657.06
  4. Step 4: Simplify right side
    931.56x = 918,609.30
  5. Step 5: Solve for x
    x = 918,609.30/931.56
  6. Step 6: Final answer
    x = 986.10

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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.