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Finding the Fourth Proportional to 1,364.89, 2,047.70 and 585.01

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Solution

The fourth proportional to 1,364.89, 2,047.70 and 585.01 is: 877.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.89 : 2,047.70 = 585.01 : x
  2. Step 2: Convert to fraction form
    1,364.89/2,047.70 = 585.01/x
  3. Step 3: Cross multiply
    1,364.89x = 2,047.70 × 585.01
  4. Step 4: Simplify right side
    1,364.89x = 1,197,924.98
  5. Step 5: Solve for x
    x = 1,197,924.98/1,364.89
  6. Step 6: Final answer
    x = 877.67

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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.