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Finding the Fourth Proportional to 710.83, 1,064.64 and 345.88

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Solution

The fourth proportional to 710.83, 1,064.64 and 345.88 is: 518.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.83 : 1,064.64 = 345.88 : x
  2. Step 2: Convert to fraction form
    710.83/1,064.64 = 345.88/x
  3. Step 3: Cross multiply
    710.83x = 1,064.64 × 345.88
  4. Step 4: Simplify right side
    710.83x = 368,237.68
  5. Step 5: Solve for x
    x = 368,237.68/710.83
  6. Step 6: Final answer
    x = 518.04

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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.