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Finding the Fourth Proportional to 1,047.94, 1,570.84 and 431.98

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Solution

The fourth proportional to 1,047.94, 1,570.84 and 431.98 is: 647.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.94 : 1,570.84 = 431.98 : x
  2. Step 2: Convert to fraction form
    1,047.94/1,570.84 = 431.98/x
  3. Step 3: Cross multiply
    1,047.94x = 1,570.84 × 431.98
  4. Step 4: Simplify right side
    1,047.94x = 678,577.72
  5. Step 5: Solve for x
    x = 678,577.72/1,047.94
  6. Step 6: Final answer
    x = 647.54

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