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Finding the Fourth Proportional to 1,005.99, 1,509.74 and 458.54

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Solution

The fourth proportional to 1,005.99, 1,509.74 and 458.54 is: 688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.99 : 1,509.74 = 458.54 : x
  2. Step 2: Convert to fraction form
    1,005.99/1,509.74 = 458.54/x
  3. Step 3: Cross multiply
    1,005.99x = 1,509.74 × 458.54
  4. Step 4: Simplify right side
    1,005.99x = 692,266.34
  5. Step 5: Solve for x
    x = 692,266.34/1,005.99
  6. Step 6: Final answer
    x = 688.14

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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.