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Finding the Fourth Proportional to 977.17, 1,347.10 and 766.52

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Solution

The fourth proportional to 977.17, 1,347.10 and 766.52 is: 1,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.17 : 1,347.10 = 766.52 : x
  2. Step 2: Convert to fraction form
    977.17/1,347.10 = 766.52/x
  3. Step 3: Cross multiply
    977.17x = 1,347.10 × 766.52
  4. Step 4: Simplify right side
    977.17x = 1,032,579.09
  5. Step 5: Solve for x
    x = 1,032,579.09/977.17
  6. Step 6: Final answer
    x = 1,056.70

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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.