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Finding the Fourth Proportional to 985.83, 1,360.40 and 566.25

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Solution

The fourth proportional to 985.83, 1,360.40 and 566.25 is: 781.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.83 : 1,360.40 = 566.25 : x
  2. Step 2: Convert to fraction form
    985.83/1,360.40 = 566.25/x
  3. Step 3: Cross multiply
    985.83x = 1,360.40 × 566.25
  4. Step 4: Simplify right side
    985.83x = 770,323.67
  5. Step 5: Solve for x
    x = 770,323.67/985.83
  6. Step 6: Final answer
    x = 781.40

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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.