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Finding the Fourth Proportional to 645.60, 970.04 and 585.68

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Solution

The fourth proportional to 645.60, 970.04 and 585.68 is: 880.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.60 : 970.04 = 585.68 : x
  2. Step 2: Convert to fraction form
    645.60/970.04 = 585.68/x
  3. Step 3: Cross multiply
    645.60x = 970.04 × 585.68
  4. Step 4: Simplify right side
    645.60x = 568,133.03
  5. Step 5: Solve for x
    x = 568,133.03/645.60
  6. Step 6: Final answer
    x = 880.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.