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Finding the Fourth Proportional to 1,135.72, 1,697.65 and 988.36

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Solution

The fourth proportional to 1,135.72, 1,697.65 and 988.36 is: 1,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.72 : 1,697.65 = 988.36 : x
  2. Step 2: Convert to fraction form
    1,135.72/1,697.65 = 988.36/x
  3. Step 3: Cross multiply
    1,135.72x = 1,697.65 × 988.36
  4. Step 4: Simplify right side
    1,135.72x = 1,677,889.35
  5. Step 5: Solve for x
    x = 1,677,889.35/1,135.72
  6. Step 6: Final answer
    x = 1,477.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.