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Finding the Fourth Proportional to 804.18, 1,111.65 and 573.30

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Solution

The fourth proportional to 804.18, 1,111.65 and 573.30 is: 792.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.18 : 1,111.65 = 573.30 : x
  2. Step 2: Convert to fraction form
    804.18/1,111.65 = 573.30/x
  3. Step 3: Cross multiply
    804.18x = 1,111.65 × 573.30
  4. Step 4: Simplify right side
    804.18x = 637,308.95
  5. Step 5: Solve for x
    x = 637,308.95/804.18
  6. Step 6: Final answer
    x = 792.50

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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.