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Finding the Fourth Proportional to 712.58, 983.07 and 526.51

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Solution

The fourth proportional to 712.58, 983.07 and 526.51 is: 726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.58 : 983.07 = 526.51 : x
  2. Step 2: Convert to fraction form
    712.58/983.07 = 526.51/x
  3. Step 3: Cross multiply
    712.58x = 983.07 × 526.51
  4. Step 4: Simplify right side
    712.58x = 517,596.19
  5. Step 5: Solve for x
    x = 517,596.19/712.58
  6. Step 6: Final answer
    x = 726.37

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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.