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Finding the Fourth Proportional to 1,307.98, 1,962.36 and 527.58

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Solution

The fourth proportional to 1,307.98, 1,962.36 and 527.58 is: 791.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.98 : 1,962.36 = 527.58 : x
  2. Step 2: Convert to fraction form
    1,307.98/1,962.36 = 527.58/x
  3. Step 3: Cross multiply
    1,307.98x = 1,962.36 × 527.58
  4. Step 4: Simplify right side
    1,307.98x = 1,035,301.89
  5. Step 5: Solve for x
    x = 1,035,301.89/1,307.98
  6. Step 6: Final answer
    x = 791.53

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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.