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Finding the Fourth Proportional to 786.49, 1,083.59 and 524.05

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Solution

The fourth proportional to 786.49, 1,083.59 and 524.05 is: 722.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.49 : 1,083.59 = 524.05 : x
  2. Step 2: Convert to fraction form
    786.49/1,083.59 = 524.05/x
  3. Step 3: Cross multiply
    786.49x = 1,083.59 × 524.05
  4. Step 4: Simplify right side
    786.49x = 567,855.34
  5. Step 5: Solve for x
    x = 567,855.34/786.49
  6. Step 6: Final answer
    x = 722.01

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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.