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Finding the Fourth Proportional to 1,496.51, 2,065.20 and 875.51

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Solution

The fourth proportional to 1,496.51, 2,065.20 and 875.51 is: 1,208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.51 : 2,065.20 = 875.51 : x
  2. Step 2: Convert to fraction form
    1,496.51/2,065.20 = 875.51/x
  3. Step 3: Cross multiply
    1,496.51x = 2,065.20 × 875.51
  4. Step 4: Simplify right side
    1,496.51x = 1,808,103.25
  5. Step 5: Solve for x
    x = 1,808,103.25/1,496.51
  6. Step 6: Final answer
    x = 1,208.21

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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.