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Finding the Fourth Proportional to 760.35, 1,138.73 and 435.09

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Solution

The fourth proportional to 760.35, 1,138.73 and 435.09 is: 651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.35 : 1,138.73 = 435.09 : x
  2. Step 2: Convert to fraction form
    760.35/1,138.73 = 435.09/x
  3. Step 3: Cross multiply
    760.35x = 1,138.73 × 435.09
  4. Step 4: Simplify right side
    760.35x = 495,447.86
  5. Step 5: Solve for x
    x = 495,447.86/760.35
  6. Step 6: Final answer
    x = 651.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.