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Finding the Fourth Proportional to 977.06, 1,464.72 and 400.34

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Solution

The fourth proportional to 977.06, 1,464.72 and 400.34 is: 600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.06 : 1,464.72 = 400.34 : x
  2. Step 2: Convert to fraction form
    977.06/1,464.72 = 400.34/x
  3. Step 3: Cross multiply
    977.06x = 1,464.72 × 400.34
  4. Step 4: Simplify right side
    977.06x = 586,386.00
  5. Step 5: Solve for x
    x = 586,386.00/977.06
  6. Step 6: Final answer
    x = 600.15

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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.