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Finding the Fourth Proportional to 1,146.52, 1,580.16 and 935.34

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Solution

The fourth proportional to 1,146.52, 1,580.16 and 935.34 is: 1,289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.52 : 1,580.16 = 935.34 : x
  2. Step 2: Convert to fraction form
    1,146.52/1,580.16 = 935.34/x
  3. Step 3: Cross multiply
    1,146.52x = 1,580.16 × 935.34
  4. Step 4: Simplify right side
    1,146.52x = 1,477,986.85
  5. Step 5: Solve for x
    x = 1,477,986.85/1,146.52
  6. Step 6: Final answer
    x = 1,289.11

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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.