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Finding the Fourth Proportional to 1,007.58, 1,510.02 and 357.69

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Solution

The fourth proportional to 1,007.58, 1,510.02 and 357.69 is: 536.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.58 : 1,510.02 = 357.69 : x
  2. Step 2: Convert to fraction form
    1,007.58/1,510.02 = 357.69/x
  3. Step 3: Cross multiply
    1,007.58x = 1,510.02 × 357.69
  4. Step 4: Simplify right side
    1,007.58x = 540,119.05
  5. Step 5: Solve for x
    x = 540,119.05/1,007.58
  6. Step 6: Final answer
    x = 536.06

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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.