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Finding the Fourth Proportional to 875.95, 1,208.64 and 544.46

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Solution

The fourth proportional to 875.95, 1,208.64 and 544.46 is: 751.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.95 : 1,208.64 = 544.46 : x
  2. Step 2: Convert to fraction form
    875.95/1,208.64 = 544.46/x
  3. Step 3: Cross multiply
    875.95x = 1,208.64 × 544.46
  4. Step 4: Simplify right side
    875.95x = 658,056.13
  5. Step 5: Solve for x
    x = 658,056.13/875.95
  6. Step 6: Final answer
    x = 751.25

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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.