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Finding the Fourth Proportional to 924.41, 1,275.69 and 510.41

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Solution

The fourth proportional to 924.41, 1,275.69 and 510.41 is: 704.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.41 : 1,275.69 = 510.41 : x
  2. Step 2: Convert to fraction form
    924.41/1,275.69 = 510.41/x
  3. Step 3: Cross multiply
    924.41x = 1,275.69 × 510.41
  4. Step 4: Simplify right side
    924.41x = 651,124.93
  5. Step 5: Solve for x
    x = 651,124.93/924.41
  6. Step 6: Final answer
    x = 704.37

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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.