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Finding the Fourth Proportional to 702.59, 1,054.16 and 291.63

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Solution

The fourth proportional to 702.59, 1,054.16 and 291.63 is: 437.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.59 : 1,054.16 = 291.63 : x
  2. Step 2: Convert to fraction form
    702.59/1,054.16 = 291.63/x
  3. Step 3: Cross multiply
    702.59x = 1,054.16 × 291.63
  4. Step 4: Simplify right side
    702.59x = 307,420.14
  5. Step 5: Solve for x
    x = 307,420.14/702.59
  6. Step 6: Final answer
    x = 437.55

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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.