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Finding the Fourth Proportional to 759.64, 1,048.04 and 497.80

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Solution

The fourth proportional to 759.64, 1,048.04 and 497.80 is: 686.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.64 : 1,048.04 = 497.80 : x
  2. Step 2: Convert to fraction form
    759.64/1,048.04 = 497.80/x
  3. Step 3: Cross multiply
    759.64x = 1,048.04 × 497.80
  4. Step 4: Simplify right side
    759.64x = 521,714.31
  5. Step 5: Solve for x
    x = 521,714.31/759.64
  6. Step 6: Final answer
    x = 686.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.