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Finding the Fourth Proportional to 1,058.35, 1,460.19 and 684.74

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Solution

The fourth proportional to 1,058.35, 1,460.19 and 684.74 is: 944.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.35 : 1,460.19 = 684.74 : x
  2. Step 2: Convert to fraction form
    1,058.35/1,460.19 = 684.74/x
  3. Step 3: Cross multiply
    1,058.35x = 1,460.19 × 684.74
  4. Step 4: Simplify right side
    1,058.35x = 999,850.50
  5. Step 5: Solve for x
    x = 999,850.50/1,058.35
  6. Step 6: Final answer
    x = 944.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.