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Finding the Fourth Proportional to 795.51, 1,097.70 and 464.00

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Solution

The fourth proportional to 795.51, 1,097.70 and 464.00 is: 640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.51 : 1,097.70 = 464.00 : x
  2. Step 2: Convert to fraction form
    795.51/1,097.70 = 464.00/x
  3. Step 3: Cross multiply
    795.51x = 1,097.70 × 464.00
  4. Step 4: Simplify right side
    795.51x = 509,327.31
  5. Step 5: Solve for x
    x = 509,327.31/795.51
  6. Step 6: Final answer
    x = 640.25

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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.