Home / 1,148.04-1,577.41-1,097.16

Finding the Fourth Proportional to 1,148.04, 1,577.41 and 1,097.16

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Solution

The fourth proportional to 1,148.04, 1,577.41 and 1,097.16 is: 1,507.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.04 : 1,577.41 = 1,097.16 : x
  2. Step 2: Convert to fraction form
    1,148.04/1,577.41 = 1,097.16/x
  3. Step 3: Cross multiply
    1,148.04x = 1,577.41 × 1,097.16
  4. Step 4: Simplify right side
    1,148.04x = 1,730,671.16
  5. Step 5: Solve for x
    x = 1,730,671.16/1,148.04
  6. Step 6: Final answer
    x = 1,507.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.