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Finding the Fourth Proportional to 1,607.04, 2,410.74 and 511.14

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Solution

The fourth proportional to 1,607.04, 2,410.74 and 511.14 is: 766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.04 : 2,410.74 = 511.14 : x
  2. Step 2: Convert to fraction form
    1,607.04/2,410.74 = 511.14/x
  3. Step 3: Cross multiply
    1,607.04x = 2,410.74 × 511.14
  4. Step 4: Simplify right side
    1,607.04x = 1,232,225.64
  5. Step 5: Solve for x
    x = 1,232,225.64/1,607.04
  6. Step 6: Final answer
    x = 766.77

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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.