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Finding the Fourth Proportional to 840.09, 1,159.11 and 508.44

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Solution

The fourth proportional to 840.09, 1,159.11 and 508.44 is: 701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.09 : 1,159.11 = 508.44 : x
  2. Step 2: Convert to fraction form
    840.09/1,159.11 = 508.44/x
  3. Step 3: Cross multiply
    840.09x = 1,159.11 × 508.44
  4. Step 4: Simplify right side
    840.09x = 589,337.89
  5. Step 5: Solve for x
    x = 589,337.89/840.09
  6. Step 6: Final answer
    x = 701.52

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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.