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Finding the Fourth Proportional to 1,698.47, 2,547.50 and 465.99

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Solution

The fourth proportional to 1,698.47, 2,547.50 and 465.99 is: 698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.47 : 2,547.50 = 465.99 : x
  2. Step 2: Convert to fraction form
    1,698.47/2,547.50 = 465.99/x
  3. Step 3: Cross multiply
    1,698.47x = 2,547.50 × 465.99
  4. Step 4: Simplify right side
    1,698.47x = 1,187,107.20
  5. Step 5: Solve for x
    x = 1,187,107.20/1,698.47
  6. Step 6: Final answer
    x = 698.93

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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.