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Finding the Fourth Proportional to 696.13, 1,045.23 and 437.77

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Solution

The fourth proportional to 696.13, 1,045.23 and 437.77 is: 657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.13 : 1,045.23 = 437.77 : x
  2. Step 2: Convert to fraction form
    696.13/1,045.23 = 437.77/x
  3. Step 3: Cross multiply
    696.13x = 1,045.23 × 437.77
  4. Step 4: Simplify right side
    696.13x = 457,570.34
  5. Step 5: Solve for x
    x = 457,570.34/696.13
  6. Step 6: Final answer
    x = 657.31

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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.