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Finding the Fourth Proportional to 840.84, 1,160.36 and 467.86

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Solution

The fourth proportional to 840.84, 1,160.36 and 467.86 is: 645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.84 : 1,160.36 = 467.86 : x
  2. Step 2: Convert to fraction form
    840.84/1,160.36 = 467.86/x
  3. Step 3: Cross multiply
    840.84x = 1,160.36 × 467.86
  4. Step 4: Simplify right side
    840.84x = 542,877.89
  5. Step 5: Solve for x
    x = 542,877.89/840.84
  6. Step 6: Final answer
    x = 645.64

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