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Finding the Fourth Proportional to 1,237.42, 1,706.88 and 765.55

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Solution

The fourth proportional to 1,237.42, 1,706.88 and 765.55 is: 1,055.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.42 : 1,706.88 = 765.55 : x
  2. Step 2: Convert to fraction form
    1,237.42/1,706.88 = 765.55/x
  3. Step 3: Cross multiply
    1,237.42x = 1,706.88 × 765.55
  4. Step 4: Simplify right side
    1,237.42x = 1,306,701.98
  5. Step 5: Solve for x
    x = 1,306,701.98/1,237.42
  6. Step 6: Final answer
    x = 1,055.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.