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Finding the Fourth Proportional to 1,282.13, 1,770.29 and 785.45

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Solution

The fourth proportional to 1,282.13, 1,770.29 and 785.45 is: 1,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.13 : 1,770.29 = 785.45 : x
  2. Step 2: Convert to fraction form
    1,282.13/1,770.29 = 785.45/x
  3. Step 3: Cross multiply
    1,282.13x = 1,770.29 × 785.45
  4. Step 4: Simplify right side
    1,282.13x = 1,390,461.50
  5. Step 5: Solve for x
    x = 1,390,461.50/1,282.13
  6. Step 6: Final answer
    x = 1,084.50

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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.