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Finding the Fourth Proportional to 1,346.34, 1,857.95 and 757.07

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Solution

The fourth proportional to 1,346.34, 1,857.95 and 757.07 is: 1,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.34 : 1,857.95 = 757.07 : x
  2. Step 2: Convert to fraction form
    1,346.34/1,857.95 = 757.07/x
  3. Step 3: Cross multiply
    1,346.34x = 1,857.95 × 757.07
  4. Step 4: Simplify right side
    1,346.34x = 1,406,599.20
  5. Step 5: Solve for x
    x = 1,406,599.20/1,346.34
  6. Step 6: Final answer
    x = 1,044.75

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1.5x scale

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.