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Finding the Fourth Proportional to 786.83, 1,085.82 and 437.52

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Solution

The fourth proportional to 786.83, 1,085.82 and 437.52 is: 603.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.83 : 1,085.82 = 437.52 : x
  2. Step 2: Convert to fraction form
    786.83/1,085.82 = 437.52/x
  3. Step 3: Cross multiply
    786.83x = 1,085.82 × 437.52
  4. Step 4: Simplify right side
    786.83x = 475,066.35
  5. Step 5: Solve for x
    x = 475,066.35/786.83
  6. Step 6: Final answer
    x = 603.77

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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.