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Finding the Fourth Proportional to 907.50, 1,252.44 and 588.36

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Solution

The fourth proportional to 907.50, 1,252.44 and 588.36 is: 812.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.50 : 1,252.44 = 588.36 : x
  2. Step 2: Convert to fraction form
    907.50/1,252.44 = 588.36/x
  3. Step 3: Cross multiply
    907.50x = 1,252.44 × 588.36
  4. Step 4: Simplify right side
    907.50x = 736,885.60
  5. Step 5: Solve for x
    x = 736,885.60/907.50
  6. Step 6: Final answer
    x = 812.00

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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.