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Finding the Fourth Proportional to 702.58, 1,054.14 and 264.03

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Solution

The fourth proportional to 702.58, 1,054.14 and 264.03 is: 396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.58 : 1,054.14 = 264.03 : x
  2. Step 2: Convert to fraction form
    702.58/1,054.14 = 264.03/x
  3. Step 3: Cross multiply
    702.58x = 1,054.14 × 264.03
  4. Step 4: Simplify right side
    702.58x = 278,323.59
  5. Step 5: Solve for x
    x = 278,323.59/702.58
  6. Step 6: Final answer
    x = 396.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.