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Finding the Fourth Proportional to 840.68, 1,160.02 and 509.14

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Solution

The fourth proportional to 840.68, 1,160.02 and 509.14 is: 702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.68 : 1,160.02 = 509.14 : x
  2. Step 2: Convert to fraction form
    840.68/1,160.02 = 509.14/x
  3. Step 3: Cross multiply
    840.68x = 1,160.02 × 509.14
  4. Step 4: Simplify right side
    840.68x = 590,608.14
  5. Step 5: Solve for x
    x = 590,608.14/840.68
  6. Step 6: Final answer
    x = 702.54

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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.