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Finding the Fourth Proportional to 1,058.34, 1,460.32 and 610.11

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Solution

The fourth proportional to 1,058.34, 1,460.32 and 610.11 is: 841.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.34 : 1,460.32 = 610.11 : x
  2. Step 2: Convert to fraction form
    1,058.34/1,460.32 = 610.11/x
  3. Step 3: Cross multiply
    1,058.34x = 1,460.32 × 610.11
  4. Step 4: Simplify right side
    1,058.34x = 890,955.84
  5. Step 5: Solve for x
    x = 890,955.84/1,058.34
  6. Step 6: Final answer
    x = 841.84

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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.