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Finding the Fourth Proportional to 1,118.07, 1,678.11 and 598.51

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Solution

The fourth proportional to 1,118.07, 1,678.11 and 598.51 is: 898.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.07 : 1,678.11 = 598.51 : x
  2. Step 2: Convert to fraction form
    1,118.07/1,678.11 = 598.51/x
  3. Step 3: Cross multiply
    1,118.07x = 1,678.11 × 598.51
  4. Step 4: Simplify right side
    1,118.07x = 1,004,357.23
  5. Step 5: Solve for x
    x = 1,004,357.23/1,118.07
  6. Step 6: Final answer
    x = 898.30

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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.