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Finding the Fourth Proportional to 1,047.06, 1,570.47 and 277.62

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Solution

The fourth proportional to 1,047.06, 1,570.47 and 277.62 is: 416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.06 : 1,570.47 = 277.62 : x
  2. Step 2: Convert to fraction form
    1,047.06/1,570.47 = 277.62/x
  3. Step 3: Cross multiply
    1,047.06x = 1,570.47 × 277.62
  4. Step 4: Simplify right side
    1,047.06x = 435,993.88
  5. Step 5: Solve for x
    x = 435,993.88/1,047.06
  6. Step 6: Final answer
    x = 416.40

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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.