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Finding the Fourth Proportional to 858.76, 1,184.71 and 578.91

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Solution

The fourth proportional to 858.76, 1,184.71 and 578.91 is: 798.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.76 : 1,184.71 = 578.91 : x
  2. Step 2: Convert to fraction form
    858.76/1,184.71 = 578.91/x
  3. Step 3: Cross multiply
    858.76x = 1,184.71 × 578.91
  4. Step 4: Simplify right side
    858.76x = 685,836.06
  5. Step 5: Solve for x
    x = 685,836.06/858.76
  6. Step 6: Final answer
    x = 798.63

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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.