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Finding the Fourth Proportional to 1,047.90, 1,570.32 and 397.89

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Solution

The fourth proportional to 1,047.90, 1,570.32 and 397.89 is: 596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.90 : 1,570.32 = 397.89 : x
  2. Step 2: Convert to fraction form
    1,047.90/1,570.32 = 397.89/x
  3. Step 3: Cross multiply
    1,047.90x = 1,570.32 × 397.89
  4. Step 4: Simplify right side
    1,047.90x = 624,814.62
  5. Step 5: Solve for x
    x = 624,814.62/1,047.90
  6. Step 6: Final answer
    x = 596.25

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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.