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Finding the Fourth Proportional to 1,237.01, 1,707.10 and 677.50

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Solution

The fourth proportional to 1,237.01, 1,707.10 and 677.50 is: 934.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.01 : 1,707.10 = 677.50 : x
  2. Step 2: Convert to fraction form
    1,237.01/1,707.10 = 677.50/x
  3. Step 3: Cross multiply
    1,237.01x = 1,707.10 × 677.50
  4. Step 4: Simplify right side
    1,237.01x = 1,156,554.29
  5. Step 5: Solve for x
    x = 1,156,554.29/1,237.01
  6. Step 6: Final answer
    x = 934.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.