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Finding the Fourth Proportional to 1,070.15, 1,476.64 and 598.03

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Solution

The fourth proportional to 1,070.15, 1,476.64 and 598.03 is: 825.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.15 : 1,476.64 = 598.03 : x
  2. Step 2: Convert to fraction form
    1,070.15/1,476.64 = 598.03/x
  3. Step 3: Cross multiply
    1,070.15x = 1,476.64 × 598.03
  4. Step 4: Simplify right side
    1,070.15x = 883,069.83
  5. Step 5: Solve for x
    x = 883,069.83/1,070.15
  6. Step 6: Final answer
    x = 825.18

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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.