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Finding the Fourth Proportional to 1,698.52, 2,547.60 and 466.06

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Solution

The fourth proportional to 1,698.52, 2,547.60 and 466.06 is: 699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.52 : 2,547.60 = 466.06 : x
  2. Step 2: Convert to fraction form
    1,698.52/2,547.60 = 466.06/x
  3. Step 3: Cross multiply
    1,698.52x = 2,547.60 × 466.06
  4. Step 4: Simplify right side
    1,698.52x = 1,187,334.46
  5. Step 5: Solve for x
    x = 1,187,334.46/1,698.52
  6. Step 6: Final answer
    x = 699.04

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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.