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Finding the Fourth Proportional to 1,364.76, 1,883.38 and 743.76

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Solution

The fourth proportional to 1,364.76, 1,883.38 and 743.76 is: 1,026.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.76 : 1,883.38 = 743.76 : x
  2. Step 2: Convert to fraction form
    1,364.76/1,883.38 = 743.76/x
  3. Step 3: Cross multiply
    1,364.76x = 1,883.38 × 743.76
  4. Step 4: Simplify right side
    1,364.76x = 1,400,782.71
  5. Step 5: Solve for x
    x = 1,400,782.71/1,364.76
  6. Step 6: Final answer
    x = 1,026.39

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1.5x scale

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.