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Finding the Fourth Proportional to 1,058.28, 1,460.60 and 632.88

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Solution

The fourth proportional to 1,058.28, 1,460.60 and 632.88 is: 873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.28 : 1,460.60 = 632.88 : x
  2. Step 2: Convert to fraction form
    1,058.28/1,460.60 = 632.88/x
  3. Step 3: Cross multiply
    1,058.28x = 1,460.60 × 632.88
  4. Step 4: Simplify right side
    1,058.28x = 924,384.53
  5. Step 5: Solve for x
    x = 924,384.53/1,058.28
  6. Step 6: Final answer
    x = 873.48

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