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Finding the Fourth Proportional to 840.41, 1,159.04 and 525.35

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Solution

The fourth proportional to 840.41, 1,159.04 and 525.35 is: 724.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.41 : 1,159.04 = 525.35 : x
  2. Step 2: Convert to fraction form
    840.41/1,159.04 = 525.35/x
  3. Step 3: Cross multiply
    840.41x = 1,159.04 × 525.35
  4. Step 4: Simplify right side
    840.41x = 608,893.24
  5. Step 5: Solve for x
    x = 608,893.24/840.41
  6. Step 6: Final answer
    x = 724.52

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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.