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Finding the Fourth Proportional to 975.59, 1,463.70 and 585.53

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Solution

The fourth proportional to 975.59, 1,463.70 and 585.53 is: 878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.59 : 1,463.70 = 585.53 : x
  2. Step 2: Convert to fraction form
    975.59/1,463.70 = 585.53/x
  3. Step 3: Cross multiply
    975.59x = 1,463.70 × 585.53
  4. Step 4: Simplify right side
    975.59x = 857,040.26
  5. Step 5: Solve for x
    x = 857,040.26/975.59
  6. Step 6: Final answer
    x = 878.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.