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Finding the Fourth Proportional to 760.54, 1,049.23 and 536.80

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Solution

The fourth proportional to 760.54, 1,049.23 and 536.80 is: 740.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.54 : 1,049.23 = 536.80 : x
  2. Step 2: Convert to fraction form
    760.54/1,049.23 = 536.80/x
  3. Step 3: Cross multiply
    760.54x = 1,049.23 × 536.80
  4. Step 4: Simplify right side
    760.54x = 563,222.76
  5. Step 5: Solve for x
    x = 563,222.76/760.54
  6. Step 6: Final answer
    x = 740.56

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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.