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Finding the Fourth Proportional to 707.79, 1,062.48 and 415.64

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Solution

The fourth proportional to 707.79, 1,062.48 and 415.64 is: 623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.79 : 1,062.48 = 415.64 : x
  2. Step 2: Convert to fraction form
    707.79/1,062.48 = 415.64/x
  3. Step 3: Cross multiply
    707.79x = 1,062.48 × 415.64
  4. Step 4: Simplify right side
    707.79x = 441,603.87
  5. Step 5: Solve for x
    x = 441,603.87/707.79
  6. Step 6: Final answer
    x = 623.92

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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.