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Finding the Fourth Proportional to 1,070.51, 1,477.28 and 598.38

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Solution

The fourth proportional to 1,070.51, 1,477.28 and 598.38 is: 825.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.51 : 1,477.28 = 598.38 : x
  2. Step 2: Convert to fraction form
    1,070.51/1,477.28 = 598.38/x
  3. Step 3: Cross multiply
    1,070.51x = 1,477.28 × 598.38
  4. Step 4: Simplify right side
    1,070.51x = 883,964.43
  5. Step 5: Solve for x
    x = 883,964.43/1,070.51
  6. Step 6: Final answer
    x = 825.74

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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.