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Finding the Fourth Proportional to 1,283.29, 1,768.35 and 928.59

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Solution

The fourth proportional to 1,283.29, 1,768.35 and 928.59 is: 1,279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.29 : 1,768.35 = 928.59 : x
  2. Step 2: Convert to fraction form
    1,283.29/1,768.35 = 928.59/x
  3. Step 3: Cross multiply
    1,283.29x = 1,768.35 × 928.59
  4. Step 4: Simplify right side
    1,283.29x = 1,642,068.98
  5. Step 5: Solve for x
    x = 1,642,068.98/1,283.29
  6. Step 6: Final answer
    x = 1,279.58

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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.