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Finding the Fourth Proportional to 1,457.75, 2,186.63 and 431.75

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Solution

The fourth proportional to 1,457.75, 2,186.63 and 431.75 is: 647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.75 : 2,186.63 = 431.75 : x
  2. Step 2: Convert to fraction form
    1,457.75/2,186.63 = 431.75/x
  3. Step 3: Cross multiply
    1,457.75x = 2,186.63 × 431.75
  4. Step 4: Simplify right side
    1,457.75x = 944,075.34
  5. Step 5: Solve for x
    x = 944,075.34/1,457.75
  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.