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Finding the Fourth Proportional to 1,047.13, 1,570.80 and 277.63

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Solution

The fourth proportional to 1,047.13, 1,570.80 and 277.63 is: 416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.13 : 1,570.80 = 277.63 : x
  2. Step 2: Convert to fraction form
    1,047.13/1,570.80 = 277.63/x
  3. Step 3: Cross multiply
    1,047.13x = 1,570.80 × 277.63
  4. Step 4: Simplify right side
    1,047.13x = 436,091.96
  5. Step 5: Solve for x
    x = 436,091.96/1,047.13
  6. Step 6: Final answer
    x = 416.47

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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.