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Finding the Fourth Proportional to 1,058.97, 1,586.61 and 572.35

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Solution

The fourth proportional to 1,058.97, 1,586.61 and 572.35 is: 857.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.97 : 1,586.61 = 572.35 : x
  2. Step 2: Convert to fraction form
    1,058.97/1,586.61 = 572.35/x
  3. Step 3: Cross multiply
    1,058.97x = 1,586.61 × 572.35
  4. Step 4: Simplify right side
    1,058.97x = 908,096.23
  5. Step 5: Solve for x
    x = 908,096.23/1,058.97
  6. Step 6: Final answer
    x = 857.53

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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.