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Finding the Fourth Proportional to 1,047.14, 1,570.56 and 277.64

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Solution

The fourth proportional to 1,047.14, 1,570.56 and 277.64 is: 416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.14 : 1,570.56 = 277.64 : x
  2. Step 2: Convert to fraction form
    1,047.14/1,570.56 = 277.64/x
  3. Step 3: Cross multiply
    1,047.14x = 1,570.56 × 277.64
  4. Step 4: Simplify right side
    1,047.14x = 436,050.28
  5. Step 5: Solve for x
    x = 436,050.28/1,047.14
  6. Step 6: Final answer
    x = 416.42

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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.