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Finding the Fourth Proportional to 1,020.64, 1,530.88 and 500.57

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Solution

The fourth proportional to 1,020.64, 1,530.88 and 500.57 is: 750.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.64 : 1,530.88 = 500.57 : x
  2. Step 2: Convert to fraction form
    1,020.64/1,530.88 = 500.57/x
  3. Step 3: Cross multiply
    1,020.64x = 1,530.88 × 500.57
  4. Step 4: Simplify right side
    1,020.64x = 766,312.60
  5. Step 5: Solve for x
    x = 766,312.60/1,020.64
  6. Step 6: Final answer
    x = 750.82

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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.