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Finding the Fourth Proportional to 1,504.68, 2,076.47 and 875.24

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Solution

The fourth proportional to 1,504.68, 2,076.47 and 875.24 is: 1,207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.68 : 2,076.47 = 875.24 : x
  2. Step 2: Convert to fraction form
    1,504.68/2,076.47 = 875.24/x
  3. Step 3: Cross multiply
    1,504.68x = 2,076.47 × 875.24
  4. Step 4: Simplify right side
    1,504.68x = 1,817,409.60
  5. Step 5: Solve for x
    x = 1,817,409.60/1,504.68
  6. Step 6: Final answer
    x = 1,207.84

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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.