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Finding the Fourth Proportional to 758.84, 1,046.93 and 497.00

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Solution

The fourth proportional to 758.84, 1,046.93 and 497.00 is: 685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.84 : 1,046.93 = 497.00 : x
  2. Step 2: Convert to fraction form
    758.84/1,046.93 = 497.00/x
  3. Step 3: Cross multiply
    758.84x = 1,046.93 × 497.00
  4. Step 4: Simplify right side
    758.84x = 520,324.34
  5. Step 5: Solve for x
    x = 520,324.34/758.84
  6. Step 6: Final answer
    x = 685.69

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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.