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Finding the Fourth Proportional to 788.09, 1,087.54 and 434.02

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Solution

The fourth proportional to 788.09, 1,087.54 and 434.02 is: 598.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.09 : 1,087.54 = 434.02 : x
  2. Step 2: Convert to fraction form
    788.09/1,087.54 = 434.02/x
  3. Step 3: Cross multiply
    788.09x = 1,087.54 × 434.02
  4. Step 4: Simplify right side
    788.09x = 472,014.11
  5. Step 5: Solve for x
    x = 472,014.11/788.09
  6. Step 6: Final answer
    x = 598.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.