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Finding the Fourth Proportional to 1,698.27, 2,547.42 and 465.60

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Solution

The fourth proportional to 1,698.27, 2,547.42 and 465.60 is: 698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.27 : 2,547.42 = 465.60 : x
  2. Step 2: Convert to fraction form
    1,698.27/2,547.42 = 465.60/x
  3. Step 3: Cross multiply
    1,698.27x = 2,547.42 × 465.60
  4. Step 4: Simplify right side
    1,698.27x = 1,186,078.75
  5. Step 5: Solve for x
    x = 1,186,078.75/1,698.27
  6. Step 6: Final answer
    x = 698.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.