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Finding the Fourth Proportional to 1,298.16, 1,791.59 and 738.77

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Solution

The fourth proportional to 1,298.16, 1,791.59 and 738.77 is: 1,019.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.16 : 1,791.59 = 738.77 : x
  2. Step 2: Convert to fraction form
    1,298.16/1,791.59 = 738.77/x
  3. Step 3: Cross multiply
    1,298.16x = 1,791.59 × 738.77
  4. Step 4: Simplify right side
    1,298.16x = 1,323,560.29
  5. Step 5: Solve for x
    x = 1,323,560.29/1,298.16
  6. Step 6: Final answer
    x = 1,019.57

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Double scale
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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.