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Finding the Fourth Proportional to 702.51, 969.62 and 469.50

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Solution

The fourth proportional to 702.51, 969.62 and 469.50 is: 648.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.51 : 969.62 = 469.50 : x
  2. Step 2: Convert to fraction form
    702.51/969.62 = 469.50/x
  3. Step 3: Cross multiply
    702.51x = 969.62 × 469.50
  4. Step 4: Simplify right side
    702.51x = 455,236.59
  5. Step 5: Solve for x
    x = 455,236.59/702.51
  6. Step 6: Final answer
    x = 648.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.