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Finding the Fourth Proportional to 1,345.17, 1,855.10 and 872.57

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Solution

The fourth proportional to 1,345.17, 1,855.10 and 872.57 is: 1,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.17 : 1,855.10 = 872.57 : x
  2. Step 2: Convert to fraction form
    1,345.17/1,855.10 = 872.57/x
  3. Step 3: Cross multiply
    1,345.17x = 1,855.10 × 872.57
  4. Step 4: Simplify right side
    1,345.17x = 1,618,711.43
  5. Step 5: Solve for x
    x = 1,618,711.43/1,345.17
  6. Step 6: Final answer
    x = 1,203.35

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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.