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Finding the Fourth Proportional to 840.54, 1,159.74 and 508.90

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Solution

The fourth proportional to 840.54, 1,159.74 and 508.90 is: 702.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.54 : 1,159.74 = 508.90 : x
  2. Step 2: Convert to fraction form
    840.54/1,159.74 = 508.90/x
  3. Step 3: Cross multiply
    840.54x = 1,159.74 × 508.90
  4. Step 4: Simplify right side
    840.54x = 590,191.69
  5. Step 5: Solve for x
    x = 590,191.69/840.54
  6. Step 6: Final answer
    x = 702.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.