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Finding the Fourth Proportional to 1,347.04, 1,858.92 and 757.57

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Solution

The fourth proportional to 1,347.04, 1,858.92 and 757.57 is: 1,045.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.04 : 1,858.92 = 757.57 : x
  2. Step 2: Convert to fraction form
    1,347.04/1,858.92 = 757.57/x
  3. Step 3: Cross multiply
    1,347.04x = 1,858.92 × 757.57
  4. Step 4: Simplify right side
    1,347.04x = 1,408,262.02
  5. Step 5: Solve for x
    x = 1,408,262.02/1,347.04
  6. Step 6: Final answer
    x = 1,045.45

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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.