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Finding the Fourth Proportional to 1,435.34, 1,980.50 and 993.08

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Solution

The fourth proportional to 1,435.34, 1,980.50 and 993.08 is: 1,370.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.34 : 1,980.50 = 993.08 : x
  2. Step 2: Convert to fraction form
    1,435.34/1,980.50 = 993.08/x
  3. Step 3: Cross multiply
    1,435.34x = 1,980.50 × 993.08
  4. Step 4: Simplify right side
    1,435.34x = 1,966,780.07
  5. Step 5: Solve for x
    x = 1,966,780.07/1,435.34
  6. Step 6: Final answer
    x = 1,370.26

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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.