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Finding the Fourth Proportional to 1,703.30, 2,553.66 and 870.49

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Solution

The fourth proportional to 1,703.30, 2,553.66 and 870.49 is: 1,305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.30 : 2,553.66 = 870.49 : x
  2. Step 2: Convert to fraction form
    1,703.30/2,553.66 = 870.49/x
  3. Step 3: Cross multiply
    1,703.30x = 2,553.66 × 870.49
  4. Step 4: Simplify right side
    1,703.30x = 2,222,935.49
  5. Step 5: Solve for x
    x = 2,222,935.49/1,703.30
  6. Step 6: Final answer
    x = 1,305.08

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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.