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Finding the Fourth Proportional to 858.58, 1,185.01 and 485.56

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Solution

The fourth proportional to 858.58, 1,185.01 and 485.56 is: 670.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.58 : 1,185.01 = 485.56 : x
  2. Step 2: Convert to fraction form
    858.58/1,185.01 = 485.56/x
  3. Step 3: Cross multiply
    858.58x = 1,185.01 × 485.56
  4. Step 4: Simplify right side
    858.58x = 575,393.46
  5. Step 5: Solve for x
    x = 575,393.46/858.58
  6. Step 6: Final answer
    x = 670.17

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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.