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Finding the Fourth Proportional to 702.69, 1,054.64 and 459.51

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Solution

The fourth proportional to 702.69, 1,054.64 and 459.51 is: 689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.69 : 1,054.64 = 459.51 : x
  2. Step 2: Convert to fraction form
    702.69/1,054.64 = 459.51/x
  3. Step 3: Cross multiply
    702.69x = 1,054.64 × 459.51
  4. Step 4: Simplify right side
    702.69x = 484,618.78
  5. Step 5: Solve for x
    x = 484,618.78/702.69
  6. Step 6: Final answer
    x = 689.66

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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.