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Finding the Fourth Proportional to 879.95, 1,214.33 and 507.00

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Solution

The fourth proportional to 879.95, 1,214.33 and 507.00 is: 699.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.95 : 1,214.33 = 507.00 : x
  2. Step 2: Convert to fraction form
    879.95/1,214.33 = 507.00/x
  3. Step 3: Cross multiply
    879.95x = 1,214.33 × 507.00
  4. Step 4: Simplify right side
    879.95x = 615,663.35
  5. Step 5: Solve for x
    x = 615,663.35/879.95
  6. Step 6: Final answer
    x = 699.66

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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.