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Finding the Fourth Proportional to 1,064.54, 1,595.44 and 448.08

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Solution

The fourth proportional to 1,064.54, 1,595.44 and 448.08 is: 671.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.54 : 1,595.44 = 448.08 : x
  2. Step 2: Convert to fraction form
    1,064.54/1,595.44 = 448.08/x
  3. Step 3: Cross multiply
    1,064.54x = 1,595.44 × 448.08
  4. Step 4: Simplify right side
    1,064.54x = 714,884.76
  5. Step 5: Solve for x
    x = 714,884.76/1,064.54
  6. Step 6: Final answer
    x = 671.54

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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.