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Finding the Fourth Proportional to 977.10, 1,347.72 and 697.32

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Solution

The fourth proportional to 977.10, 1,347.72 and 697.32 is: 961.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.10 : 1,347.72 = 697.32 : x
  2. Step 2: Convert to fraction form
    977.10/1,347.72 = 697.32/x
  3. Step 3: Cross multiply
    977.10x = 1,347.72 × 697.32
  4. Step 4: Simplify right side
    977.10x = 939,792.11
  5. Step 5: Solve for x
    x = 939,792.11/977.10
  6. Step 6: Final answer
    x = 961.82

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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.