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Finding the Fourth Proportional to 1,398.96, 2,098.47 and 577.01

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Solution

The fourth proportional to 1,398.96, 2,098.47 and 577.01 is: 865.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.96 : 2,098.47 = 577.01 : x
  2. Step 2: Convert to fraction form
    1,398.96/2,098.47 = 577.01/x
  3. Step 3: Cross multiply
    1,398.96x = 2,098.47 × 577.01
  4. Step 4: Simplify right side
    1,398.96x = 1,210,827.68
  5. Step 5: Solve for x
    x = 1,210,827.68/1,398.96
  6. Step 6: Final answer
    x = 865.52

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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.