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Finding the Fourth Proportional to 715.91, 1,075.66 and 456.02

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Solution

The fourth proportional to 715.91, 1,075.66 and 456.02 is: 685.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.91 : 1,075.66 = 456.02 : x
  2. Step 2: Convert to fraction form
    715.91/1,075.66 = 456.02/x
  3. Step 3: Cross multiply
    715.91x = 1,075.66 × 456.02
  4. Step 4: Simplify right side
    715.91x = 490,524.02
  5. Step 5: Solve for x
    x = 490,524.02/715.91
  6. Step 6: Final answer
    x = 685.18

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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.