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Finding the Fourth Proportional to 743.95, 1,115.70 and 597.36

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Solution

The fourth proportional to 743.95, 1,115.70 and 597.36 is: 895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.95 : 1,115.70 = 597.36 : x
  2. Step 2: Convert to fraction form
    743.95/1,115.70 = 597.36/x
  3. Step 3: Cross multiply
    743.95x = 1,115.70 × 597.36
  4. Step 4: Simplify right side
    743.95x = 666,470.22
  5. Step 5: Solve for x
    x = 666,470.22/743.95
  6. Step 6: Final answer
    x = 895.85

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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.