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Finding the Fourth Proportional to 1,070.58, 1,477.31 and 598.49

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Solution

The fourth proportional to 1,070.58, 1,477.31 and 598.49 is: 825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.58 : 1,477.31 = 598.49 : x
  2. Step 2: Convert to fraction form
    1,070.58/1,477.31 = 598.49/x
  3. Step 3: Cross multiply
    1,070.58x = 1,477.31 × 598.49
  4. Step 4: Simplify right side
    1,070.58x = 884,155.26
  5. Step 5: Solve for x
    x = 884,155.26/1,070.58
  6. Step 6: Final answer
    x = 825.87

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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.