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Finding the Fourth Proportional to 1,271.49, 1,754.59 and 711.95

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Solution

The fourth proportional to 1,271.49, 1,754.59 and 711.95 is: 982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.49 : 1,754.59 = 711.95 : x
  2. Step 2: Convert to fraction form
    1,271.49/1,754.59 = 711.95/x
  3. Step 3: Cross multiply
    1,271.49x = 1,754.59 × 711.95
  4. Step 4: Simplify right side
    1,271.49x = 1,249,176.79
  5. Step 5: Solve for x
    x = 1,249,176.79/1,271.49
  6. Step 6: Final answer
    x = 982.45

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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.