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Finding the Fourth Proportional to 977.05, 1,347.98 and 627.93

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Solution

The fourth proportional to 977.05, 1,347.98 and 627.93 is: 866.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.05 : 1,347.98 = 627.93 : x
  2. Step 2: Convert to fraction form
    977.05/1,347.98 = 627.93/x
  3. Step 3: Cross multiply
    977.05x = 1,347.98 × 627.93
  4. Step 4: Simplify right side
    977.05x = 846,437.08
  5. Step 5: Solve for x
    x = 846,437.08/977.05
  6. Step 6: Final answer
    x = 866.32

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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.