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Finding the Fourth Proportional to 1,415.12, 1,952.66 and 785.55

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Solution

The fourth proportional to 1,415.12, 1,952.66 and 785.55 is: 1,083.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.12 : 1,952.66 = 785.55 : x
  2. Step 2: Convert to fraction form
    1,415.12/1,952.66 = 785.55/x
  3. Step 3: Cross multiply
    1,415.12x = 1,952.66 × 785.55
  4. Step 4: Simplify right side
    1,415.12x = 1,533,905.95
  5. Step 5: Solve for x
    x = 1,533,905.95/1,415.12
  6. Step 6: Final answer
    x = 1,083.94

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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.