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Finding the Fourth Proportional to 977.15, 1,348.47 and 529.02

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Solution

The fourth proportional to 977.15, 1,348.47 and 529.02 is: 730.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.15 : 1,348.47 = 529.02 : x
  2. Step 2: Convert to fraction form
    977.15/1,348.47 = 529.02/x
  3. Step 3: Cross multiply
    977.15x = 1,348.47 × 529.02
  4. Step 4: Simplify right side
    977.15x = 713,367.78
  5. Step 5: Solve for x
    x = 713,367.78/977.15
  6. Step 6: Final answer
    x = 730.05

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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.