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Finding the Fourth Proportional to 1,365.77, 1,884.34 and 899.93

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Solution

The fourth proportional to 1,365.77, 1,884.34 and 899.93 is: 1,241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.77 : 1,884.34 = 899.93 : x
  2. Step 2: Convert to fraction form
    1,365.77/1,884.34 = 899.93/x
  3. Step 3: Cross multiply
    1,365.77x = 1,884.34 × 899.93
  4. Step 4: Simplify right side
    1,365.77x = 1,695,774.10
  5. Step 5: Solve for x
    x = 1,695,774.10/1,365.77
  6. Step 6: Final answer
    x = 1,241.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.