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Finding the Fourth Proportional to 1,134.06, 1,701.48 and 585.90

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Solution

The fourth proportional to 1,134.06, 1,701.48 and 585.90 is: 879.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.06 : 1,701.48 = 585.90 : x
  2. Step 2: Convert to fraction form
    1,134.06/1,701.48 = 585.90/x
  3. Step 3: Cross multiply
    1,134.06x = 1,701.48 × 585.90
  4. Step 4: Simplify right side
    1,134.06x = 996,897.13
  5. Step 5: Solve for x
    x = 996,897.13/1,134.06
  6. Step 6: Final answer
    x = 879.05

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Why These Related Problems?

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