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Finding the Fourth Proportional to 1,047.42, 1,570.82 and 354.11

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Solution

The fourth proportional to 1,047.42, 1,570.82 and 354.11 is: 531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.42 : 1,570.82 = 354.11 : x
  2. Step 2: Convert to fraction form
    1,047.42/1,570.82 = 354.11/x
  3. Step 3: Cross multiply
    1,047.42x = 1,570.82 × 354.11
  4. Step 4: Simplify right side
    1,047.42x = 556,233.45
  5. Step 5: Solve for x
    x = 556,233.45/1,047.42
  6. Step 6: Final answer
    x = 531.05

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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.