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Finding the Fourth Proportional to 702.63, 1,051.72 and 571.52

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Solution

The fourth proportional to 702.63, 1,051.72 and 571.52 is: 855.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.63 : 1,051.72 = 571.52 : x
  2. Step 2: Convert to fraction form
    702.63/1,051.72 = 571.52/x
  3. Step 3: Cross multiply
    702.63x = 1,051.72 × 571.52
  4. Step 4: Simplify right side
    702.63x = 601,080.21
  5. Step 5: Solve for x
    x = 601,080.21/702.63
  6. Step 6: Final answer
    x = 855.47

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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.