Home / 1,316.45-1,973.50-537.10

Finding the Fourth Proportional to 1,316.45, 1,973.50 and 537.10

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Solution

The fourth proportional to 1,316.45, 1,973.50 and 537.10 is: 805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.45 : 1,973.50 = 537.10 : x
  2. Step 2: Convert to fraction form
    1,316.45/1,973.50 = 537.10/x
  3. Step 3: Cross multiply
    1,316.45x = 1,973.50 × 537.10
  4. Step 4: Simplify right side
    1,316.45x = 1,059,963.26
  5. Step 5: Solve for x
    x = 1,059,963.26/1,316.45
  6. Step 6: Final answer
    x = 805.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.