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Finding the Fourth Proportional to 1,699.17, 2,547.75 and 658.86

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Solution

The fourth proportional to 1,699.17, 2,547.75 and 658.86 is: 987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.17 : 2,547.75 = 658.86 : x
  2. Step 2: Convert to fraction form
    1,699.17/2,547.75 = 658.86/x
  3. Step 3: Cross multiply
    1,699.17x = 2,547.75 × 658.86
  4. Step 4: Simplify right side
    1,699.17x = 1,678,610.57
  5. Step 5: Solve for x
    x = 1,678,610.57/1,699.17
  6. Step 6: Final answer
    x = 987.90

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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.