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Finding the Fourth Proportional to 1,113.64, 1,670.50 and 564.28

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Solution

The fourth proportional to 1,113.64, 1,670.50 and 564.28 is: 846.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.64 : 1,670.50 = 564.28 : x
  2. Step 2: Convert to fraction form
    1,113.64/1,670.50 = 564.28/x
  3. Step 3: Cross multiply
    1,113.64x = 1,670.50 × 564.28
  4. Step 4: Simplify right side
    1,113.64x = 942,629.74
  5. Step 5: Solve for x
    x = 942,629.74/1,113.64
  6. Step 6: Final answer
    x = 846.44

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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.