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Finding the Fourth Proportional to 1,007.02, 1,510.84 and 458.76

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Solution

The fourth proportional to 1,007.02, 1,510.84 and 458.76 is: 688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.02 : 1,510.84 = 458.76 : x
  2. Step 2: Convert to fraction form
    1,007.02/1,510.84 = 458.76/x
  3. Step 3: Cross multiply
    1,007.02x = 1,510.84 × 458.76
  4. Step 4: Simplify right side
    1,007.02x = 693,112.96
  5. Step 5: Solve for x
    x = 693,112.96/1,007.02
  6. Step 6: Final answer
    x = 688.28

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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.