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Finding the Fourth Proportional to 1,007.03, 1,510.74 and 348.93

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Solution

The fourth proportional to 1,007.03, 1,510.74 and 348.93 is: 523.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.03 : 1,510.74 = 348.93 : x
  2. Step 2: Convert to fraction form
    1,007.03/1,510.74 = 348.93/x
  3. Step 3: Cross multiply
    1,007.03x = 1,510.74 × 348.93
  4. Step 4: Simplify right side
    1,007.03x = 527,142.51
  5. Step 5: Solve for x
    x = 527,142.51/1,007.03
  6. Step 6: Final answer
    x = 523.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.