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Finding the Fourth Proportional to 801.60, 1,106.15 and 465.47

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Solution

The fourth proportional to 801.60, 1,106.15 and 465.47 is: 642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.60 : 1,106.15 = 465.47 : x
  2. Step 2: Convert to fraction form
    801.60/1,106.15 = 465.47/x
  3. Step 3: Cross multiply
    801.60x = 1,106.15 × 465.47
  4. Step 4: Simplify right side
    801.60x = 514,880.80
  5. Step 5: Solve for x
    x = 514,880.80/801.60
  6. Step 6: Final answer
    x = 642.32

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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.