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Finding the Fourth Proportional to 1,064.45, 1,468.53 and 785.34

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Solution

The fourth proportional to 1,064.45, 1,468.53 and 785.34 is: 1,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.45 : 1,468.53 = 785.34 : x
  2. Step 2: Convert to fraction form
    1,064.45/1,468.53 = 785.34/x
  3. Step 3: Cross multiply
    1,064.45x = 1,468.53 × 785.34
  4. Step 4: Simplify right side
    1,064.45x = 1,153,291.42
  5. Step 5: Solve for x
    x = 1,153,291.42/1,064.45
  6. Step 6: Final answer
    x = 1,083.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.