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Finding the Fourth Proportional to 840, 1,159.10 and 486.02

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Solution

The fourth proportional to 840, 1,159.10 and 486.02 is: 670.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    840 : 1,159.10 = 486.02 : x
  2. Step 2: Convert to fraction form
    840/1,159.10 = 486.02/x
  3. Step 3: Cross multiply
    840x = 1,159.10 × 486.02
  4. Step 4: Simplify right side
    840x = 563,345.78
  5. Step 5: Solve for x
    x = 563,345.78/840
  6. Step 6: Final answer
    x = 670.65

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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.