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Finding the Fourth Proportional to 1,058.34, 1,587.78 and 596.64

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Solution

The fourth proportional to 1,058.34, 1,587.78 and 596.64 is: 895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.34 : 1,587.78 = 596.64 : x
  2. Step 2: Convert to fraction form
    1,058.34/1,587.78 = 596.64/x
  3. Step 3: Cross multiply
    1,058.34x = 1,587.78 × 596.64
  4. Step 4: Simplify right side
    1,058.34x = 947,333.06
  5. Step 5: Solve for x
    x = 947,333.06/1,058.34
  6. Step 6: Final answer
    x = 895.11

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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.