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Finding the Fourth Proportional to 875.90, 1,208.46 and 580.86

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Solution

The fourth proportional to 875.90, 1,208.46 and 580.86 is: 801.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.90 : 1,208.46 = 580.86 : x
  2. Step 2: Convert to fraction form
    875.90/1,208.46 = 580.86/x
  3. Step 3: Cross multiply
    875.90x = 1,208.46 × 580.86
  4. Step 4: Simplify right side
    875.90x = 701,946.08
  5. Step 5: Solve for x
    x = 701,946.08/875.90
  6. Step 6: Final answer
    x = 801.40

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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.