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Finding the Fourth Proportional to 1,046.34, 1,570.17 and 397.02

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Solution

The fourth proportional to 1,046.34, 1,570.17 and 397.02 is: 595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.34 : 1,570.17 = 397.02 : x
  2. Step 2: Convert to fraction form
    1,046.34/1,570.17 = 397.02/x
  3. Step 3: Cross multiply
    1,046.34x = 1,570.17 × 397.02
  4. Step 4: Simplify right side
    1,046.34x = 623,388.89
  5. Step 5: Solve for x
    x = 623,388.89/1,046.34
  6. Step 6: Final answer
    x = 595.78

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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.