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Finding the Fourth Proportional to 840.37, 1,159.08 and 591.76

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Solution

The fourth proportional to 840.37, 1,159.08 and 591.76 is: 816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.37 : 1,159.08 = 591.76 : x
  2. Step 2: Convert to fraction form
    840.37/1,159.08 = 591.76/x
  3. Step 3: Cross multiply
    840.37x = 1,159.08 × 591.76
  4. Step 4: Simplify right side
    840.37x = 685,897.18
  5. Step 5: Solve for x
    x = 685,897.18/840.37
  6. Step 6: Final answer
    x = 816.18

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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.