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Finding the Fourth Proportional to 1,310.03, 1,964.40 and 477.07

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Solution

The fourth proportional to 1,310.03, 1,964.40 and 477.07 is: 715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.03 : 1,964.40 = 477.07 : x
  2. Step 2: Convert to fraction form
    1,310.03/1,964.40 = 477.07/x
  3. Step 3: Cross multiply
    1,310.03x = 1,964.40 × 477.07
  4. Step 4: Simplify right side
    1,310.03x = 937,156.31
  5. Step 5: Solve for x
    x = 937,156.31/1,310.03
  6. Step 6: Final answer
    x = 715.37

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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.