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Finding the Fourth Proportional to 657.12, 984.06 and 526.20

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Solution

The fourth proportional to 657.12, 984.06 and 526.20 is: 788.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.12 : 984.06 = 526.20 : x
  2. Step 2: Convert to fraction form
    657.12/984.06 = 526.20/x
  3. Step 3: Cross multiply
    657.12x = 984.06 × 526.20
  4. Step 4: Simplify right side
    657.12x = 517,812.37
  5. Step 5: Solve for x
    x = 517,812.37/657.12
  6. Step 6: Final answer
    x = 788.00

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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.