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Finding the Fourth Proportional to 760.75, 1,050.83 and 613.93

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Solution

The fourth proportional to 760.75, 1,050.83 and 613.93 is: 848.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.75 : 1,050.83 = 613.93 : x
  2. Step 2: Convert to fraction form
    760.75/1,050.83 = 613.93/x
  3. Step 3: Cross multiply
    760.75x = 1,050.83 × 613.93
  4. Step 4: Simplify right side
    760.75x = 645,136.06
  5. Step 5: Solve for x
    x = 645,136.06/760.75
  6. Step 6: Final answer
    x = 848.03

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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.