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Finding the Fourth Proportional to 1,321.51, 1,823.85 and 761.86

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Solution

The fourth proportional to 1,321.51, 1,823.85 and 761.86 is: 1,051.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.51 : 1,823.85 = 761.86 : x
  2. Step 2: Convert to fraction form
    1,321.51/1,823.85 = 761.86/x
  3. Step 3: Cross multiply
    1,321.51x = 1,823.85 × 761.86
  4. Step 4: Simplify right side
    1,321.51x = 1,389,518.36
  5. Step 5: Solve for x
    x = 1,389,518.36/1,321.51
  6. Step 6: Final answer
    x = 1,051.46

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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.