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Finding the Fourth Proportional to 1,307.51, 1,961.90 and 576.21

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Solution

The fourth proportional to 1,307.51, 1,961.90 and 576.21 is: 864.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.51 : 1,961.90 = 576.21 : x
  2. Step 2: Convert to fraction form
    1,307.51/1,961.90 = 576.21/x
  3. Step 3: Cross multiply
    1,307.51x = 1,961.90 × 576.21
  4. Step 4: Simplify right side
    1,307.51x = 1,130,466.40
  5. Step 5: Solve for x
    x = 1,130,466.40/1,307.51
  6. Step 6: Final answer
    x = 864.59

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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.