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Finding the Fourth Proportional to 744.88, 1,117.93 and 283.13

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Solution

The fourth proportional to 744.88, 1,117.93 and 283.13 is: 424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.88 : 1,117.93 = 283.13 : x
  2. Step 2: Convert to fraction form
    744.88/1,117.93 = 283.13/x
  3. Step 3: Cross multiply
    744.88x = 1,117.93 × 283.13
  4. Step 4: Simplify right side
    744.88x = 316,519.52
  5. Step 5: Solve for x
    x = 316,519.52/744.88
  6. Step 6: Final answer
    x = 424.93

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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.