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Finding the Fourth Proportional to 977.60, 1,465.67 and 464

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Solution

The fourth proportional to 977.60, 1,465.67 and 464 is: 695.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.60 : 1,465.67 = 464 : x
  2. Step 2: Convert to fraction form
    977.60/1,465.67 = 464/x
  3. Step 3: Cross multiply
    977.60x = 1,465.67 × 464
  4. Step 4: Simplify right side
    977.60x = 680,070.88
  5. Step 5: Solve for x
    x = 680,070.88/977.60
  6. Step 6: Final answer
    x = 695.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.