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Finding the Fourth Proportional to 840.70, 1,159.83 and 486.55

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Solution

The fourth proportional to 840.70, 1,159.83 and 486.55 is: 671.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.70 : 1,159.83 = 486.55 : x
  2. Step 2: Convert to fraction form
    840.70/1,159.83 = 486.55/x
  3. Step 3: Cross multiply
    840.70x = 1,159.83 × 486.55
  4. Step 4: Simplify right side
    840.70x = 564,315.29
  5. Step 5: Solve for x
    x = 564,315.29/840.70
  6. Step 6: Final answer
    x = 671.24

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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.