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Finding the Fourth Proportional to 876.40, 1,313.58 and 704.14

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Solution

The fourth proportional to 876.40, 1,313.58 and 704.14 is: 1,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.40 : 1,313.58 = 704.14 : x
  2. Step 2: Convert to fraction form
    876.40/1,313.58 = 704.14/x
  3. Step 3: Cross multiply
    876.40x = 1,313.58 × 704.14
  4. Step 4: Simplify right side
    876.40x = 924,937.65
  5. Step 5: Solve for x
    x = 924,937.65/876.40
  6. Step 6: Final answer
    x = 1,055.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.