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Finding the Fourth Proportional to 653.90, 903.42 and 507.60

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Solution

The fourth proportional to 653.90, 903.42 and 507.60 is: 701.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.90 : 903.42 = 507.60 : x
  2. Step 2: Convert to fraction form
    653.90/903.42 = 507.60/x
  3. Step 3: Cross multiply
    653.90x = 903.42 × 507.60
  4. Step 4: Simplify right side
    653.90x = 458,575.99
  5. Step 5: Solve for x
    x = 458,575.99/653.90
  6. Step 6: Final answer
    x = 701.30

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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.