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Finding the Fourth Proportional to 1,070.43, 1,477.10 and 598.27

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Solution

The fourth proportional to 1,070.43, 1,477.10 and 598.27 is: 825.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.43 : 1,477.10 = 598.27 : x
  2. Step 2: Convert to fraction form
    1,070.43/1,477.10 = 598.27/x
  3. Step 3: Cross multiply
    1,070.43x = 1,477.10 × 598.27
  4. Step 4: Simplify right side
    1,070.43x = 883,697.23
  5. Step 5: Solve for x
    x = 883,697.23/1,070.43
  6. Step 6: Final answer
    x = 825.55

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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.