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Finding the Fourth Proportional to 1,326.90, 1,988.90 and 556.50

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Solution

The fourth proportional to 1,326.90, 1,988.90 and 556.50 is: 834.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.90 : 1,988.90 = 556.50 : x
  2. Step 2: Convert to fraction form
    1,326.90/1,988.90 = 556.50/x
  3. Step 3: Cross multiply
    1,326.90x = 1,988.90 × 556.50
  4. Step 4: Simplify right side
    1,326.90x = 1,106,822.85
  5. Step 5: Solve for x
    x = 1,106,822.85/1,326.90
  6. Step 6: Final answer
    x = 834.14

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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.