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Finding the Fourth Proportional to 840.89, 1,160.66 and 509.50

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Solution

The fourth proportional to 840.89, 1,160.66 and 509.50 is: 703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.89 : 1,160.66 = 509.50 : x
  2. Step 2: Convert to fraction form
    840.89/1,160.66 = 509.50/x
  3. Step 3: Cross multiply
    840.89x = 1,160.66 × 509.50
  4. Step 4: Simplify right side
    840.89x = 591,358.99
  5. Step 5: Solve for x
    x = 591,358.99/840.89
  6. Step 6: Final answer
    x = 703.25

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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.