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Finding the Fourth Proportional to 1,435.69, 1,981.16 and 846.32

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Solution

The fourth proportional to 1,435.69, 1,981.16 and 846.32 is: 1,167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.69 : 1,981.16 = 846.32 : x
  2. Step 2: Convert to fraction form
    1,435.69/1,981.16 = 846.32/x
  3. Step 3: Cross multiply
    1,435.69x = 1,981.16 × 846.32
  4. Step 4: Simplify right side
    1,435.69x = 1,676,684.37
  5. Step 5: Solve for x
    x = 1,676,684.37/1,435.69
  6. Step 6: Final answer
    x = 1,167.86

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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.