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Finding the Fourth Proportional to 848.89, 1,171.04 and 586.45

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Solution

The fourth proportional to 848.89, 1,171.04 and 586.45 is: 809.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.89 : 1,171.04 = 586.45 : x
  2. Step 2: Convert to fraction form
    848.89/1,171.04 = 586.45/x
  3. Step 3: Cross multiply
    848.89x = 1,171.04 × 586.45
  4. Step 4: Simplify right side
    848.89x = 686,750.55
  5. Step 5: Solve for x
    x = 686,750.55/848.89
  6. Step 6: Final answer
    x = 809.00

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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.