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Finding the Fourth Proportional to 840.62, 1,160.16 and 509.04

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Solution

The fourth proportional to 840.62, 1,160.16 and 509.04 is: 702.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.62 : 1,160.16 = 509.04 : x
  2. Step 2: Convert to fraction form
    840.62/1,160.16 = 509.04/x
  3. Step 3: Cross multiply
    840.62x = 1,160.16 × 509.04
  4. Step 4: Simplify right side
    840.62x = 590,561.59
  5. Step 5: Solve for x
    x = 590,561.59/840.62
  6. Step 6: Final answer
    x = 702.53

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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.