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Finding the Fourth Proportional to 744.40, 1,024.94 and 632.14

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Solution

The fourth proportional to 744.40, 1,024.94 and 632.14 is: 870.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.40 : 1,024.94 = 632.14 : x
  2. Step 2: Convert to fraction form
    744.40/1,024.94 = 632.14/x
  3. Step 3: Cross multiply
    744.40x = 1,024.94 × 632.14
  4. Step 4: Simplify right side
    744.40x = 647,899.85
  5. Step 5: Solve for x
    x = 647,899.85/744.40
  6. Step 6: Final answer
    x = 870.37

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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.