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Finding the Fourth Proportional to 760.55, 1,135.26 and 712.49

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Solution

The fourth proportional to 760.55, 1,135.26 and 712.49 is: 1,063.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.55 : 1,135.26 = 712.49 : x
  2. Step 2: Convert to fraction form
    760.55/1,135.26 = 712.49/x
  3. Step 3: Cross multiply
    760.55x = 1,135.26 × 712.49
  4. Step 4: Simplify right side
    760.55x = 808,855.72
  5. Step 5: Solve for x
    x = 808,855.72/760.55
  6. Step 6: Final answer
    x = 1,063.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.