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Finding the Fourth Proportional to 899.77, 1,347.27 and 705.17

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Solution

The fourth proportional to 899.77, 1,347.27 and 705.17 is: 1,055.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.77 : 1,347.27 = 705.17 : x
  2. Step 2: Convert to fraction form
    899.77/1,347.27 = 705.17/x
  3. Step 3: Cross multiply
    899.77x = 1,347.27 × 705.17
  4. Step 4: Simplify right side
    899.77x = 950,051.50
  5. Step 5: Solve for x
    x = 950,051.50/899.77
  6. Step 6: Final answer
    x = 1,055.88

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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.