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Finding the Fourth Proportional to 760.99, 1,049.54 and 466.05

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Solution

The fourth proportional to 760.99, 1,049.54 and 466.05 is: 642.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.99 : 1,049.54 = 466.05 : x
  2. Step 2: Convert to fraction form
    760.99/1,049.54 = 466.05/x
  3. Step 3: Cross multiply
    760.99x = 1,049.54 × 466.05
  4. Step 4: Simplify right side
    760.99x = 489,138.12
  5. Step 5: Solve for x
    x = 489,138.12/760.99
  6. Step 6: Final answer
    x = 642.77

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Why These Related Problems?

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