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Finding the Fourth Proportional to 929.02, 1,282.19 and 530.68

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Solution

The fourth proportional to 929.02, 1,282.19 and 530.68 is: 732.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.02 : 1,282.19 = 530.68 : x
  2. Step 2: Convert to fraction form
    929.02/1,282.19 = 530.68/x
  3. Step 3: Cross multiply
    929.02x = 1,282.19 × 530.68
  4. Step 4: Simplify right side
    929.02x = 680,423.52
  5. Step 5: Solve for x
    x = 680,423.52/929.02
  6. Step 6: Final answer
    x = 732.41

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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.