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Finding the Fourth Proportional to 1,070.90, 1,477.73 and 598.82

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Solution

The fourth proportional to 1,070.90, 1,477.73 and 598.82 is: 826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.90 : 1,477.73 = 598.82 : x
  2. Step 2: Convert to fraction form
    1,070.90/1,477.73 = 598.82/x
  3. Step 3: Cross multiply
    1,070.90x = 1,477.73 × 598.82
  4. Step 4: Simplify right side
    1,070.90x = 884,899.47
  5. Step 5: Solve for x
    x = 884,899.47/1,070.90
  6. Step 6: Final answer
    x = 826.31

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