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Finding the Fourth Proportional to 582.69, 797.98 and 575.00

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Solution

The fourth proportional to 582.69, 797.98 and 575.00 is: 787.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.69 : 797.98 = 575.00 : x
  2. Step 2: Convert to fraction form
    582.69/797.98 = 575.00/x
  3. Step 3: Cross multiply
    582.69x = 797.98 × 575.00
  4. Step 4: Simplify right side
    582.69x = 458,840.07
  5. Step 5: Solve for x
    x = 458,840.07/582.69
  6. Step 6: Final answer
    x = 787.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.