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Finding the Fourth Proportional to 1,046.53, 1,570.02 and 397.27

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Solution

The fourth proportional to 1,046.53, 1,570.02 and 397.27 is: 595.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.53 : 1,570.02 = 397.27 : x
  2. Step 2: Convert to fraction form
    1,046.53/1,570.02 = 397.27/x
  3. Step 3: Cross multiply
    1,046.53x = 1,570.02 × 397.27
  4. Step 4: Simplify right side
    1,046.53x = 623,721.85
  5. Step 5: Solve for x
    x = 623,721.85/1,046.53
  6. Step 6: Final answer
    x = 595.99

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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.