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Finding the Fourth Proportional to 1,302.12, 1,798.02 and 930.24

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Solution

The fourth proportional to 1,302.12, 1,798.02 and 930.24 is: 1,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.12 : 1,798.02 = 930.24 : x
  2. Step 2: Convert to fraction form
    1,302.12/1,798.02 = 930.24/x
  3. Step 3: Cross multiply
    1,302.12x = 1,798.02 × 930.24
  4. Step 4: Simplify right side
    1,302.12x = 1,672,590.12
  5. Step 5: Solve for x
    x = 1,672,590.12/1,302.12
  6. Step 6: Final answer
    x = 1,284.51

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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.