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Finding the Fourth Proportional to 977.54, 1,465.04 and 566.46

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Solution

The fourth proportional to 977.54, 1,465.04 and 566.46 is: 848.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.54 : 1,465.04 = 566.46 : x
  2. Step 2: Convert to fraction form
    977.54/1,465.04 = 566.46/x
  3. Step 3: Cross multiply
    977.54x = 1,465.04 × 566.46
  4. Step 4: Simplify right side
    977.54x = 829,887.97
  5. Step 5: Solve for x
    x = 829,887.97/977.54
  6. Step 6: Final answer
    x = 848.96

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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.