Home / 1,070.14-1,476.87-598.13

Finding the Fourth Proportional to 1,070.14, 1,476.87 and 598.13

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Solution

The fourth proportional to 1,070.14, 1,476.87 and 598.13 is: 825.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.14 : 1,476.87 = 598.13 : x
  2. Step 2: Convert to fraction form
    1,070.14/1,476.87 = 598.13/x
  3. Step 3: Cross multiply
    1,070.14x = 1,476.87 × 598.13
  4. Step 4: Simplify right side
    1,070.14x = 883,360.25
  5. Step 5: Solve for x
    x = 883,360.25/1,070.14
  6. Step 6: Final answer
    x = 825.46

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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.