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Finding the Fourth Proportional to 1,698.32, 2,547.45 and 465.73

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Solution

The fourth proportional to 1,698.32, 2,547.45 and 465.73 is: 698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.32 : 2,547.45 = 465.73 : x
  2. Step 2: Convert to fraction form
    1,698.32/2,547.45 = 465.73/x
  3. Step 3: Cross multiply
    1,698.32x = 2,547.45 × 465.73
  4. Step 4: Simplify right side
    1,698.32x = 1,186,423.89
  5. Step 5: Solve for x
    x = 1,186,423.89/1,698.32
  6. Step 6: Final answer
    x = 698.59

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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.