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Finding the Fourth Proportional to 760.92, 1,050.57 and 466.49

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Solution

The fourth proportional to 760.92, 1,050.57 and 466.49 is: 644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.92 : 1,050.57 = 466.49 : x
  2. Step 2: Convert to fraction form
    760.92/1,050.57 = 466.49/x
  3. Step 3: Cross multiply
    760.92x = 1,050.57 × 466.49
  4. Step 4: Simplify right side
    760.92x = 490,075.15
  5. Step 5: Solve for x
    x = 490,075.15/760.92
  6. Step 6: Final answer
    x = 644.06

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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.