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Finding the Fourth Proportional to 1,345.87, 1,857.90 and 880.12

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Solution

The fourth proportional to 1,345.87, 1,857.90 and 880.12 is: 1,214.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.87 : 1,857.90 = 880.12 : x
  2. Step 2: Convert to fraction form
    1,345.87/1,857.90 = 880.12/x
  3. Step 3: Cross multiply
    1,345.87x = 1,857.90 × 880.12
  4. Step 4: Simplify right side
    1,345.87x = 1,635,174.95
  5. Step 5: Solve for x
    x = 1,635,174.95/1,345.87
  6. Step 6: Final answer
    x = 1,214.96

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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.