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Finding the Fourth Proportional to 1,272.98, 1,907.08 and 655.16

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Solution

The fourth proportional to 1,272.98, 1,907.08 and 655.16 is: 981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.98 : 1,907.08 = 655.16 : x
  2. Step 2: Convert to fraction form
    1,272.98/1,907.08 = 655.16/x
  3. Step 3: Cross multiply
    1,272.98x = 1,907.08 × 655.16
  4. Step 4: Simplify right side
    1,272.98x = 1,249,431.36
  5. Step 5: Solve for x
    x = 1,249,431.36/1,272.98
  6. Step 6: Final answer
    x = 981.50

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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.