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Finding the Fourth Proportional to 647.79, 894.29 and 507.60

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Solution

The fourth proportional to 647.79, 894.29 and 507.60 is: 700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.79 : 894.29 = 507.60 : x
  2. Step 2: Convert to fraction form
    647.79/894.29 = 507.60/x
  3. Step 3: Cross multiply
    647.79x = 894.29 × 507.60
  4. Step 4: Simplify right side
    647.79x = 453,939.07
  5. Step 5: Solve for x
    x = 453,939.07/647.79
  6. Step 6: Final answer
    x = 700.75

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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.