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Finding the Fourth Proportional to 977.16, 1,466.08 and 490.10

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Solution

The fourth proportional to 977.16, 1,466.08 and 490.10 is: 735.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.16 : 1,466.08 = 490.10 : x
  2. Step 2: Convert to fraction form
    977.16/1,466.08 = 490.10/x
  3. Step 3: Cross multiply
    977.16x = 1,466.08 × 490.10
  4. Step 4: Simplify right side
    977.16x = 718,525.81
  5. Step 5: Solve for x
    x = 718,525.81/977.16
  6. Step 6: Final answer
    x = 735.32

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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.