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Finding the Fourth Proportional to 944.88, 1,415.76 and 597.60

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Solution

The fourth proportional to 944.88, 1,415.76 and 597.60 is: 895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.88 : 1,415.76 = 597.60 : x
  2. Step 2: Convert to fraction form
    944.88/1,415.76 = 597.60/x
  3. Step 3: Cross multiply
    944.88x = 1,415.76 × 597.60
  4. Step 4: Simplify right side
    944.88x = 846,058.18
  5. Step 5: Solve for x
    x = 846,058.18/944.88
  6. Step 6: Final answer
    x = 895.41

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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.