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Finding the Fourth Proportional to 656.80, 904.26 and 507.04

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Solution

The fourth proportional to 656.80, 904.26 and 507.04 is: 698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.80 : 904.26 = 507.04 : x
  2. Step 2: Convert to fraction form
    656.80/904.26 = 507.04/x
  3. Step 3: Cross multiply
    656.80x = 904.26 × 507.04
  4. Step 4: Simplify right side
    656.80x = 458,495.99
  5. Step 5: Solve for x
    x = 458,495.99/656.80
  6. Step 6: Final answer
    x = 698.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.