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Finding the Fourth Proportional to 710.10, 1,064.19 and 401.82

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Solution

The fourth proportional to 710.10, 1,064.19 and 401.82 is: 602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.10 : 1,064.19 = 401.82 : x
  2. Step 2: Convert to fraction form
    710.10/1,064.19 = 401.82/x
  3. Step 3: Cross multiply
    710.10x = 1,064.19 × 401.82
  4. Step 4: Simplify right side
    710.10x = 427,612.83
  5. Step 5: Solve for x
    x = 427,612.83/710.10
  6. Step 6: Final answer
    x = 602.19

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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.