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Finding the Fourth Proportional to 700.47, 967.88 and 576.03

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Solution

The fourth proportional to 700.47, 967.88 and 576.03 is: 795.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.47 : 967.88 = 576.03 : x
  2. Step 2: Convert to fraction form
    700.47/967.88 = 576.03/x
  3. Step 3: Cross multiply
    700.47x = 967.88 × 576.03
  4. Step 4: Simplify right side
    700.47x = 557,525.04
  5. Step 5: Solve for x
    x = 557,525.04/700.47
  6. Step 6: Final answer
    x = 795.93

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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.