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Finding the Fourth Proportional to 1,024.94, 1,535.88 and 530.24

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Solution

The fourth proportional to 1,024.94, 1,535.88 and 530.24 is: 794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.94 : 1,535.88 = 530.24 : x
  2. Step 2: Convert to fraction form
    1,024.94/1,535.88 = 530.24/x
  3. Step 3: Cross multiply
    1,024.94x = 1,535.88 × 530.24
  4. Step 4: Simplify right side
    1,024.94x = 814,385.01
  5. Step 5: Solve for x
    x = 814,385.01/1,024.94
  6. Step 6: Final answer
    x = 794.57

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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.