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Finding the Fourth Proportional to 702.07, 1,053.06 and 285.77

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Solution

The fourth proportional to 702.07, 1,053.06 and 285.77 is: 428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.07 : 1,053.06 = 285.77 : x
  2. Step 2: Convert to fraction form
    702.07/1,053.06 = 285.77/x
  3. Step 3: Cross multiply
    702.07x = 1,053.06 × 285.77
  4. Step 4: Simplify right side
    702.07x = 300,932.96
  5. Step 5: Solve for x
    x = 300,932.96/702.07
  6. Step 6: Final answer
    x = 428.64

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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.