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Finding the Fourth Proportional to 840.04, 1,158.96 and 508.48

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Solution

The fourth proportional to 840.04, 1,158.96 and 508.48 is: 701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.04 : 1,158.96 = 508.48 : x
  2. Step 2: Convert to fraction form
    840.04/1,158.96 = 508.48/x
  3. Step 3: Cross multiply
    840.04x = 1,158.96 × 508.48
  4. Step 4: Simplify right side
    840.04x = 589,307.98
  5. Step 5: Solve for x
    x = 589,307.98/840.04
  6. Step 6: Final answer
    x = 701.52

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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.