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Finding the Fourth Proportional to 1,023.10, 1,532.18 and 583.02

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Solution

The fourth proportional to 1,023.10, 1,532.18 and 583.02 is: 873.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.10 : 1,532.18 = 583.02 : x
  2. Step 2: Convert to fraction form
    1,023.10/1,532.18 = 583.02/x
  3. Step 3: Cross multiply
    1,023.10x = 1,532.18 × 583.02
  4. Step 4: Simplify right side
    1,023.10x = 893,291.58
  5. Step 5: Solve for x
    x = 893,291.58/1,023.10
  6. Step 6: Final answer
    x = 873.12

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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.