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Finding the Fourth Proportional to 875.64, 1,208.88 and 580.80

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Solution

The fourth proportional to 875.64, 1,208.88 and 580.80 is: 801.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.64 : 1,208.88 = 580.80 : x
  2. Step 2: Convert to fraction form
    875.64/1,208.88 = 580.80/x
  3. Step 3: Cross multiply
    875.64x = 1,208.88 × 580.80
  4. Step 4: Simplify right side
    875.64x = 702,117.50
  5. Step 5: Solve for x
    x = 702,117.50/875.64
  6. Step 6: Final answer
    x = 801.83

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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.