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Finding the Fourth Proportional to 1,456.60, 2,010 and 859.14

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Solution

The fourth proportional to 1,456.60, 2,010 and 859.14 is: 1,185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.60 : 2,010 = 859.14 : x
  2. Step 2: Convert to fraction form
    1,456.60/2,010 = 859.14/x
  3. Step 3: Cross multiply
    1,456.60x = 2,010 × 859.14
  4. Step 4: Simplify right side
    1,456.60x = 1,726,871.40
  5. Step 5: Solve for x
    x = 1,726,871.40/1,456.60
  6. Step 6: Final answer
    x = 1,185.55

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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.