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Finding the Fourth Proportional to 750.45, 1,117.76 and 711.44

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Solution

The fourth proportional to 750.45, 1,117.76 and 711.44 is: 1,059.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.45 : 1,117.76 = 711.44 : x
  2. Step 2: Convert to fraction form
    750.45/1,117.76 = 711.44/x
  3. Step 3: Cross multiply
    750.45x = 1,117.76 × 711.44
  4. Step 4: Simplify right side
    750.45x = 795,219.17
  5. Step 5: Solve for x
    x = 795,219.17/750.45
  6. Step 6: Final answer
    x = 1,059.66

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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.