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Finding the Fourth Proportional to 840.19, 1,159.63 and 486.17

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Solution

The fourth proportional to 840.19, 1,159.63 and 486.17 is: 671.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.19 : 1,159.63 = 486.17 : x
  2. Step 2: Convert to fraction form
    840.19/1,159.63 = 486.17/x
  3. Step 3: Cross multiply
    840.19x = 1,159.63 × 486.17
  4. Step 4: Simplify right side
    840.19x = 563,777.32
  5. Step 5: Solve for x
    x = 563,777.32/840.19
  6. Step 6: Final answer
    x = 671.01

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Half scale
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Double scale
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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.