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Finding the Fourth Proportional to 760.52, 1,050.10 and 594.44

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Solution

The fourth proportional to 760.52, 1,050.10 and 594.44 is: 820.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.52 : 1,050.10 = 594.44 : x
  2. Step 2: Convert to fraction form
    760.52/1,050.10 = 594.44/x
  3. Step 3: Cross multiply
    760.52x = 1,050.10 × 594.44
  4. Step 4: Simplify right side
    760.52x = 624,218.65
  5. Step 5: Solve for x
    x = 624,218.65/760.52
  6. Step 6: Final answer
    x = 820.78

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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.