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Finding the Fourth Proportional to 840.56, 1,258.80 and 429.08

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Solution

The fourth proportional to 840.56, 1,258.80 and 429.08 is: 642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.56 : 1,258.80 = 429.08 : x
  2. Step 2: Convert to fraction form
    840.56/1,258.80 = 429.08/x
  3. Step 3: Cross multiply
    840.56x = 1,258.80 × 429.08
  4. Step 4: Simplify right side
    840.56x = 540,125.90
  5. Step 5: Solve for x
    x = 540,125.90/840.56
  6. Step 6: Final answer
    x = 642.58

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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.