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Finding the Fourth Proportional to 1,070.71, 1,477.51 and 598.57

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Solution

The fourth proportional to 1,070.71, 1,477.51 and 598.57 is: 825.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.71 : 1,477.51 = 598.57 : x
  2. Step 2: Convert to fraction form
    1,070.71/1,477.51 = 598.57/x
  3. Step 3: Cross multiply
    1,070.71x = 1,477.51 × 598.57
  4. Step 4: Simplify right side
    1,070.71x = 884,399.65
  5. Step 5: Solve for x
    x = 884,399.65/1,070.71
  6. Step 6: Final answer
    x = 825.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.