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Finding the Fourth Proportional to 801.87, 1,106.58 and 470.30

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Solution

The fourth proportional to 801.87, 1,106.58 and 470.30 is: 649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.87 : 1,106.58 = 470.30 : x
  2. Step 2: Convert to fraction form
    801.87/1,106.58 = 470.30/x
  3. Step 3: Cross multiply
    801.87x = 1,106.58 × 470.30
  4. Step 4: Simplify right side
    801.87x = 520,429.10
  5. Step 5: Solve for x
    x = 520,429.10/801.87
  6. Step 6: Final answer
    x = 649.02

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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.