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Finding the Fourth Proportional to 1,305.66, 1,957.29 and 564.81

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Solution

The fourth proportional to 1,305.66, 1,957.29 and 564.81 is: 846.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.66 : 1,957.29 = 564.81 : x
  2. Step 2: Convert to fraction form
    1,305.66/1,957.29 = 564.81/x
  3. Step 3: Cross multiply
    1,305.66x = 1,957.29 × 564.81
  4. Step 4: Simplify right side
    1,305.66x = 1,105,492.07
  5. Step 5: Solve for x
    x = 1,105,492.07/1,305.66
  6. Step 6: Final answer
    x = 846.69

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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.