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Finding the Fourth Proportional to 1,052.04, 1,576.88 and 358.06

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Solution

The fourth proportional to 1,052.04, 1,576.88 and 358.06 is: 536.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.04 : 1,576.88 = 358.06 : x
  2. Step 2: Convert to fraction form
    1,052.04/1,576.88 = 358.06/x
  3. Step 3: Cross multiply
    1,052.04x = 1,576.88 × 358.06
  4. Step 4: Simplify right side
    1,052.04x = 564,617.65
  5. Step 5: Solve for x
    x = 564,617.65/1,052.04
  6. Step 6: Final answer
    x = 536.69

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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.