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Finding the Fourth Proportional to 1,007.17, 1,510.83 and 357.91

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Solution

The fourth proportional to 1,007.17, 1,510.83 and 357.91 is: 536.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.17 : 1,510.83 = 357.91 : x
  2. Step 2: Convert to fraction form
    1,007.17/1,510.83 = 357.91/x
  3. Step 3: Cross multiply
    1,007.17x = 1,510.83 × 357.91
  4. Step 4: Simplify right side
    1,007.17x = 540,741.17
  5. Step 5: Solve for x
    x = 540,741.17/1,007.17
  6. Step 6: Final answer
    x = 536.89

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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.