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Finding the Fourth Proportional to 1,313.98, 1,971.36 and 533.58

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Solution

The fourth proportional to 1,313.98, 1,971.36 and 533.58 is: 800.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.98 : 1,971.36 = 533.58 : x
  2. Step 2: Convert to fraction form
    1,313.98/1,971.36 = 533.58/x
  3. Step 3: Cross multiply
    1,313.98x = 1,971.36 × 533.58
  4. Step 4: Simplify right side
    1,313.98x = 1,051,878.27
  5. Step 5: Solve for x
    x = 1,051,878.27/1,313.98
  6. Step 6: Final answer
    x = 800.53

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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.