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Finding the Fourth Proportional to 1,698.23, 2,547.36 and 465.77

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Solution

The fourth proportional to 1,698.23, 2,547.36 and 465.77 is: 698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.23 : 2,547.36 = 465.77 : x
  2. Step 2: Convert to fraction form
    1,698.23/2,547.36 = 465.77/x
  3. Step 3: Cross multiply
    1,698.23x = 2,547.36 × 465.77
  4. Step 4: Simplify right side
    1,698.23x = 1,186,490.24
  5. Step 5: Solve for x
    x = 1,186,490.24/1,698.23
  6. Step 6: Final answer
    x = 698.66

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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.