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Finding the Fourth Proportional to 713.08, 1,070.01 and 405.28

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Solution

The fourth proportional to 713.08, 1,070.01 and 405.28 is: 608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.08 : 1,070.01 = 405.28 : x
  2. Step 2: Convert to fraction form
    713.08/1,070.01 = 405.28/x
  3. Step 3: Cross multiply
    713.08x = 1,070.01 × 405.28
  4. Step 4: Simplify right side
    713.08x = 433,653.65
  5. Step 5: Solve for x
    x = 433,653.65/713.08
  6. Step 6: Final answer
    x = 608.14

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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.