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Finding the Fourth Proportional to 879.90, 1,214.28 and 507

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Solution

The fourth proportional to 879.90, 1,214.28 and 507 is: 699.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.90 : 1,214.28 = 507 : x
  2. Step 2: Convert to fraction form
    879.90/1,214.28 = 507/x
  3. Step 3: Cross multiply
    879.90x = 1,214.28 × 507
  4. Step 4: Simplify right side
    879.90x = 615,639.96
  5. Step 5: Solve for x
    x = 615,639.96/879.90
  6. Step 6: Final answer
    x = 699.67

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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.