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Finding the Fourth Proportional to 713.80, 1,070.09 and 424.63

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Solution

The fourth proportional to 713.80, 1,070.09 and 424.63 is: 636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.80 : 1,070.09 = 424.63 : x
  2. Step 2: Convert to fraction form
    713.80/1,070.09 = 424.63/x
  3. Step 3: Cross multiply
    713.80x = 1,070.09 × 424.63
  4. Step 4: Simplify right side
    713.80x = 454,384.84
  5. Step 5: Solve for x
    x = 454,384.84/713.80
  6. Step 6: Final answer
    x = 636.58

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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.