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Finding the Fourth Proportional to 975.03, 1,344.87 and 581.75

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Solution

The fourth proportional to 975.03, 1,344.87 and 581.75 is: 802.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.03 : 1,344.87 = 581.75 : x
  2. Step 2: Convert to fraction form
    975.03/1,344.87 = 581.75/x
  3. Step 3: Cross multiply
    975.03x = 1,344.87 × 581.75
  4. Step 4: Simplify right side
    975.03x = 782,378.12
  5. Step 5: Solve for x
    x = 782,378.12/975.03
  6. Step 6: Final answer
    x = 802.41

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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.