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Finding the Fourth Proportional to 756.61, 1,048.32 and 740.21

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Solution

The fourth proportional to 756.61, 1,048.32 and 740.21 is: 1,025.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.61 : 1,048.32 = 740.21 : x
  2. Step 2: Convert to fraction form
    756.61/1,048.32 = 740.21/x
  3. Step 3: Cross multiply
    756.61x = 1,048.32 × 740.21
  4. Step 4: Simplify right side
    756.61x = 775,974.48
  5. Step 5: Solve for x
    x = 775,974.48/756.61
  6. Step 6: Final answer
    x = 1,025.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.