Home / 1,023.20-1,534.28-503.24

Finding the Fourth Proportional to 1,023.20, 1,534.28 and 503.24

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Solution

The fourth proportional to 1,023.20, 1,534.28 and 503.24 is: 754.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.20 : 1,534.28 = 503.24 : x
  2. Step 2: Convert to fraction form
    1,023.20/1,534.28 = 503.24/x
  3. Step 3: Cross multiply
    1,023.20x = 1,534.28 × 503.24
  4. Step 4: Simplify right side
    1,023.20x = 772,111.07
  5. Step 5: Solve for x
    x = 772,111.07/1,023.20
  6. Step 6: Final answer
    x = 754.60

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1.5x scale

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.