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Finding the Fourth Proportional to 1,110.77, 1,665.58 and 649.45

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Solution

The fourth proportional to 1,110.77, 1,665.58 and 649.45 is: 973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.77 : 1,665.58 = 649.45 : x
  2. Step 2: Convert to fraction form
    1,110.77/1,665.58 = 649.45/x
  3. Step 3: Cross multiply
    1,110.77x = 1,665.58 × 649.45
  4. Step 4: Simplify right side
    1,110.77x = 1,081,710.36
  5. Step 5: Solve for x
    x = 1,081,710.36/1,110.77
  6. Step 6: Final answer
    x = 973.84

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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.