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Finding the Fourth Proportional to 1,114.06, 1,668.50 and 564.91

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Solution

The fourth proportional to 1,114.06, 1,668.50 and 564.91 is: 846.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.06 : 1,668.50 = 564.91 : x
  2. Step 2: Convert to fraction form
    1,114.06/1,668.50 = 564.91/x
  3. Step 3: Cross multiply
    1,114.06x = 1,668.50 × 564.91
  4. Step 4: Simplify right side
    1,114.06x = 942,549.51
  5. Step 5: Solve for x
    x = 942,549.51/1,114.06
  6. Step 6: Final answer
    x = 846.05

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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.