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Finding the Fourth Proportional to 1,305.35, 1,953.11 and 916.10

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Solution

The fourth proportional to 1,305.35, 1,953.11 and 916.10 is: 1,370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.35 : 1,953.11 = 916.10 : x
  2. Step 2: Convert to fraction form
    1,305.35/1,953.11 = 916.10/x
  3. Step 3: Cross multiply
    1,305.35x = 1,953.11 × 916.10
  4. Step 4: Simplify right side
    1,305.35x = 1,789,239.49
  5. Step 5: Solve for x
    x = 1,789,239.49/1,305.35
  6. Step 6: Final answer
    x = 1,370.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.