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Finding the Fourth Proportional to 1,117.72, 1,676.93 and 829.01

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Solution

The fourth proportional to 1,117.72, 1,676.93 and 829.01 is: 1,243.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.72 : 1,676.93 = 829.01 : x
  2. Step 2: Convert to fraction form
    1,117.72/1,676.93 = 829.01/x
  3. Step 3: Cross multiply
    1,117.72x = 1,676.93 × 829.01
  4. Step 4: Simplify right side
    1,117.72x = 1,390,189.40
  5. Step 5: Solve for x
    x = 1,390,189.40/1,117.72
  6. Step 6: Final answer
    x = 1,243.77

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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.