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Finding the Fourth Proportional to 677.64, 934.92 and 590.16

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Solution

The fourth proportional to 677.64, 934.92 and 590.16 is: 814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.64 : 934.92 = 590.16 : x
  2. Step 2: Convert to fraction form
    677.64/934.92 = 590.16/x
  3. Step 3: Cross multiply
    677.64x = 934.92 × 590.16
  4. Step 4: Simplify right side
    677.64x = 551,752.39
  5. Step 5: Solve for x
    x = 551,752.39/677.64
  6. Step 6: Final answer
    x = 814.23

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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.