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Finding the Fourth Proportional to 1,106.90, 1,657.65 and 1,058.30

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Solution

The fourth proportional to 1,106.90, 1,657.65 and 1,058.30 is: 1,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.90 : 1,657.65 = 1,058.30 : x
  2. Step 2: Convert to fraction form
    1,106.90/1,657.65 = 1,058.30/x
  3. Step 3: Cross multiply
    1,106.90x = 1,657.65 × 1,058.30
  4. Step 4: Simplify right side
    1,106.90x = 1,754,291.00
  5. Step 5: Solve for x
    x = 1,754,291.00/1,106.90
  6. Step 6: Final answer
    x = 1,584.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.