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Finding the Fourth Proportional to 840.49, 1,159.70 and 508.93

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Solution

The fourth proportional to 840.49, 1,159.70 and 508.93 is: 702.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.49 : 1,159.70 = 508.93 : x
  2. Step 2: Convert to fraction form
    840.49/1,159.70 = 508.93/x
  3. Step 3: Cross multiply
    840.49x = 1,159.70 × 508.93
  4. Step 4: Simplify right side
    840.49x = 590,203.58
  5. Step 5: Solve for x
    x = 590,203.58/840.49
  6. Step 6: Final answer
    x = 702.21

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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.