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Finding the Fourth Proportional to 804.89, 1,110.56 and 510.05

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Solution

The fourth proportional to 804.89, 1,110.56 and 510.05 is: 703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.89 : 1,110.56 = 510.05 : x
  2. Step 2: Convert to fraction form
    804.89/1,110.56 = 510.05/x
  3. Step 3: Cross multiply
    804.89x = 1,110.56 × 510.05
  4. Step 4: Simplify right side
    804.89x = 566,441.13
  5. Step 5: Solve for x
    x = 566,441.13/804.89
  6. Step 6: Final answer
    x = 703.75

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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.