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Finding the Fourth Proportional to 1,306.26, 1,957.97 and 612.50

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Solution

The fourth proportional to 1,306.26, 1,957.97 and 612.50 is: 918.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.26 : 1,957.97 = 612.50 : x
  2. Step 2: Convert to fraction form
    1,306.26/1,957.97 = 612.50/x
  3. Step 3: Cross multiply
    1,306.26x = 1,957.97 × 612.50
  4. Step 4: Simplify right side
    1,306.26x = 1,199,248.37
  5. Step 5: Solve for x
    x = 1,199,248.37/1,306.26
  6. Step 6: Final answer
    x = 918.08

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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.