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Finding the Fourth Proportional to 840.60, 1,160.46 and 653.67

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Solution

The fourth proportional to 840.60, 1,160.46 and 653.67 is: 902.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.60 : 1,160.46 = 653.67 : x
  2. Step 2: Convert to fraction form
    840.60/1,160.46 = 653.67/x
  3. Step 3: Cross multiply
    840.60x = 1,160.46 × 653.67
  4. Step 4: Simplify right side
    840.60x = 758,557.89
  5. Step 5: Solve for x
    x = 758,557.89/840.60
  6. Step 6: Final answer
    x = 902.40

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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.