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Finding the Fourth Proportional to 1,410.64, 2,116.16 and 436.82

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Solution

The fourth proportional to 1,410.64, 2,116.16 and 436.82 is: 655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.64 : 2,116.16 = 436.82 : x
  2. Step 2: Convert to fraction form
    1,410.64/2,116.16 = 436.82/x
  3. Step 3: Cross multiply
    1,410.64x = 2,116.16 × 436.82
  4. Step 4: Simplify right side
    1,410.64x = 924,381.01
  5. Step 5: Solve for x
    x = 924,381.01/1,410.64
  6. Step 6: Final answer
    x = 655.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.