Home / 1,151.03-1,588.28-653.57

Finding the Fourth Proportional to 1,151.03, 1,588.28 and 653.57

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Solution

The fourth proportional to 1,151.03, 1,588.28 and 653.57 is: 901.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.03 : 1,588.28 = 653.57 : x
  2. Step 2: Convert to fraction form
    1,151.03/1,588.28 = 653.57/x
  3. Step 3: Cross multiply
    1,151.03x = 1,588.28 × 653.57
  4. Step 4: Simplify right side
    1,151.03x = 1,038,045.85
  5. Step 5: Solve for x
    x = 1,038,045.85/1,151.03
  6. Step 6: Final answer
    x = 901.84

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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.