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Finding the Fourth Proportional to 949.46, 1,310.15 and 585.59

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Solution

The fourth proportional to 949.46, 1,310.15 and 585.59 is: 808.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.46 : 1,310.15 = 585.59 : x
  2. Step 2: Convert to fraction form
    949.46/1,310.15 = 585.59/x
  3. Step 3: Cross multiply
    949.46x = 1,310.15 × 585.59
  4. Step 4: Simplify right side
    949.46x = 767,210.74
  5. Step 5: Solve for x
    x = 767,210.74/949.46
  6. Step 6: Final answer
    x = 808.05

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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.