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Finding the Fourth Proportional to 1,214.77, 1,822.34 and 598.51

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Solution

The fourth proportional to 1,214.77, 1,822.34 and 598.51 is: 897.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.77 : 1,822.34 = 598.51 : x
  2. Step 2: Convert to fraction form
    1,214.77/1,822.34 = 598.51/x
  3. Step 3: Cross multiply
    1,214.77x = 1,822.34 × 598.51
  4. Step 4: Simplify right side
    1,214.77x = 1,090,693.40
  5. Step 5: Solve for x
    x = 1,090,693.40/1,214.77
  6. Step 6: Final answer
    x = 897.86

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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.