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Finding the Fourth Proportional to 840.36, 1,159.68 and 508.87

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Solution

The fourth proportional to 840.36, 1,159.68 and 508.87 is: 702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.36 : 1,159.68 = 508.87 : x
  2. Step 2: Convert to fraction form
    840.36/1,159.68 = 508.87/x
  3. Step 3: Cross multiply
    840.36x = 1,159.68 × 508.87
  4. Step 4: Simplify right side
    840.36x = 590,126.36
  5. Step 5: Solve for x
    x = 590,126.36/840.36
  6. Step 6: Final answer
    x = 702.23

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1.5x scale

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.