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Finding the Fourth Proportional to 1,368.13, 1,888.06 and 747.13

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Solution

The fourth proportional to 1,368.13, 1,888.06 and 747.13 is: 1,031.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.13 : 1,888.06 = 747.13 : x
  2. Step 2: Convert to fraction form
    1,368.13/1,888.06 = 747.13/x
  3. Step 3: Cross multiply
    1,368.13x = 1,888.06 × 747.13
  4. Step 4: Simplify right side
    1,368.13x = 1,410,626.27
  5. Step 5: Solve for x
    x = 1,410,626.27/1,368.13
  6. Step 6: Final answer
    x = 1,031.06

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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.