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Finding the Fourth Proportional to 1,058.06, 1,470.29 and 1,046.72

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Solution

The fourth proportional to 1,058.06, 1,470.29 and 1,046.72 is: 1,454.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.06 : 1,470.29 = 1,046.72 : x
  2. Step 2: Convert to fraction form
    1,058.06/1,470.29 = 1,046.72/x
  3. Step 3: Cross multiply
    1,058.06x = 1,470.29 × 1,046.72
  4. Step 4: Simplify right side
    1,058.06x = 1,538,980.39
  5. Step 5: Solve for x
    x = 1,538,980.39/1,058.06
  6. Step 6: Final answer
    x = 1,454.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.