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Finding the Fourth Proportional to 1,271.55, 1,754.66 and 711.99

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Solution

The fourth proportional to 1,271.55, 1,754.66 and 711.99 is: 982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.55 : 1,754.66 = 711.99 : x
  2. Step 2: Convert to fraction form
    1,271.55/1,754.66 = 711.99/x
  3. Step 3: Cross multiply
    1,271.55x = 1,754.66 × 711.99
  4. Step 4: Simplify right side
    1,271.55x = 1,249,302.15
  5. Step 5: Solve for x
    x = 1,249,302.15/1,271.55
  6. Step 6: Final answer
    x = 982.50

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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.