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Finding the Fourth Proportional to 702.10, 1,012.32 and 702.10

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Solution

The fourth proportional to 702.10, 1,012.32 and 702.10 is: 1,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.10 : 1,012.32 = 702.10 : x
  2. Step 2: Convert to fraction form
    702.10/1,012.32 = 702.10/x
  3. Step 3: Cross multiply
    702.10x = 1,012.32 × 702.10
  4. Step 4: Simplify right side
    702.10x = 710,749.87
  5. Step 5: Solve for x
    x = 710,749.87/702.10
  6. Step 6: Final answer
    x = 1,012.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.