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Finding the Fourth Proportional to 1,346.40, 1,858.14 and 756.90

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Solution

The fourth proportional to 1,346.40, 1,858.14 and 756.90 is: 1,044.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.40 : 1,858.14 = 756.90 : x
  2. Step 2: Convert to fraction form
    1,346.40/1,858.14 = 756.90/x
  3. Step 3: Cross multiply
    1,346.40x = 1,858.14 × 756.90
  4. Step 4: Simplify right side
    1,346.40x = 1,406,426.17
  5. Step 5: Solve for x
    x = 1,406,426.17/1,346.40
  6. Step 6: Final answer
    x = 1,044.58

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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.