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Finding the Fourth Proportional to 1,134.65, 1,701.27 and 647.03

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Solution

The fourth proportional to 1,134.65, 1,701.27 and 647.03 is: 970.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.65 : 1,701.27 = 647.03 : x
  2. Step 2: Convert to fraction form
    1,134.65/1,701.27 = 647.03/x
  3. Step 3: Cross multiply
    1,134.65x = 1,701.27 × 647.03
  4. Step 4: Simplify right side
    1,134.65x = 1,100,776.98
  5. Step 5: Solve for x
    x = 1,100,776.98/1,134.65
  6. Step 6: Final answer
    x = 970.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.