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Finding the Fourth Proportional to 1,435.52, 1,980.96 and 846.10

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Solution

The fourth proportional to 1,435.52, 1,980.96 and 846.10 is: 1,167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.52 : 1,980.96 = 846.10 : x
  2. Step 2: Convert to fraction form
    1,435.52/1,980.96 = 846.10/x
  3. Step 3: Cross multiply
    1,435.52x = 1,980.96 × 846.10
  4. Step 4: Simplify right side
    1,435.52x = 1,676,090.26
  5. Step 5: Solve for x
    x = 1,676,090.26/1,435.52
  6. Step 6: Final answer
    x = 1,167.58

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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.