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Finding the Fourth Proportional to 804.68, 1,110.54 and 509.98

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Solution

The fourth proportional to 804.68, 1,110.54 and 509.98 is: 703.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.68 : 1,110.54 = 509.98 : x
  2. Step 2: Convert to fraction form
    804.68/1,110.54 = 509.98/x
  3. Step 3: Cross multiply
    804.68x = 1,110.54 × 509.98
  4. Step 4: Simplify right side
    804.68x = 566,353.19
  5. Step 5: Solve for x
    x = 566,353.19/804.68
  6. Step 6: Final answer
    x = 703.82

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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.