Home / 1,058.16-1,460.30-610.02

Finding the Fourth Proportional to 1,058.16, 1,460.30 and 610.02

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Solution

The fourth proportional to 1,058.16, 1,460.30 and 610.02 is: 841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.16 : 1,460.30 = 610.02 : x
  2. Step 2: Convert to fraction form
    1,058.16/1,460.30 = 610.02/x
  3. Step 3: Cross multiply
    1,058.16x = 1,460.30 × 610.02
  4. Step 4: Simplify right side
    1,058.16x = 890,812.21
  5. Step 5: Solve for x
    x = 890,812.21/1,058.16
  6. Step 6: Final answer
    x = 841.85

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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.