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Finding the Fourth Proportional to 848.61, 1,168.63 and 586.17

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Solution

The fourth proportional to 848.61, 1,168.63 and 586.17 is: 807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.61 : 1,168.63 = 586.17 : x
  2. Step 2: Convert to fraction form
    848.61/1,168.63 = 586.17/x
  3. Step 3: Cross multiply
    848.61x = 1,168.63 × 586.17
  4. Step 4: Simplify right side
    848.61x = 685,014.38
  5. Step 5: Solve for x
    x = 685,014.38/848.61
  6. Step 6: Final answer
    x = 807.22

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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.