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Finding the Fourth Proportional to 975.60, 1,461.48 and 564.48

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Solution

The fourth proportional to 975.60, 1,461.48 and 564.48 is: 845.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.60 : 1,461.48 = 564.48 : x
  2. Step 2: Convert to fraction form
    975.60/1,461.48 = 564.48/x
  3. Step 3: Cross multiply
    975.60x = 1,461.48 × 564.48
  4. Step 4: Simplify right side
    975.60x = 824,976.23
  5. Step 5: Solve for x
    x = 824,976.23/975.60
  6. Step 6: Final answer
    x = 845.61

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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.