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Finding the Fourth Proportional to 1,475.08, 2,213.16 and 1,064.68

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Solution

The fourth proportional to 1,475.08, 2,213.16 and 1,064.68 is: 1,597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.08 : 2,213.16 = 1,064.68 : x
  2. Step 2: Convert to fraction form
    1,475.08/2,213.16 = 1,064.68/x
  3. Step 3: Cross multiply
    1,475.08x = 2,213.16 × 1,064.68
  4. Step 4: Simplify right side
    1,475.08x = 2,356,307.19
  5. Step 5: Solve for x
    x = 2,356,307.19/1,475.08
  6. Step 6: Final answer
    x = 1,597.41

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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.