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Finding the Fourth Proportional to 1,457.76, 2,186.62 and 431.76

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Solution

The fourth proportional to 1,457.76, 2,186.62 and 431.76 is: 647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.76 : 2,186.62 = 431.76 : x
  2. Step 2: Convert to fraction form
    1,457.76/2,186.62 = 431.76/x
  3. Step 3: Cross multiply
    1,457.76x = 2,186.62 × 431.76
  4. Step 4: Simplify right side
    1,457.76x = 944,095.05
  5. Step 5: Solve for x
    x = 944,095.05/1,457.76
  6. Step 6: Final answer
    x = 647.63

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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.