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Finding the Fourth Proportional to 1,317.79, 1,977.36 and 587.84

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Solution

The fourth proportional to 1,317.79, 1,977.36 and 587.84 is: 882.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.79 : 1,977.36 = 587.84 : x
  2. Step 2: Convert to fraction form
    1,317.79/1,977.36 = 587.84/x
  3. Step 3: Cross multiply
    1,317.79x = 1,977.36 × 587.84
  4. Step 4: Simplify right side
    1,317.79x = 1,162,368.36
  5. Step 5: Solve for x
    x = 1,162,368.36/1,317.79
  6. Step 6: Final answer
    x = 882.06

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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.