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Finding the Fourth Proportional to 646.04, 966.90 and 530.48

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Solution

The fourth proportional to 646.04, 966.90 and 530.48 is: 793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.04 : 966.90 = 530.48 : x
  2. Step 2: Convert to fraction form
    646.04/966.90 = 530.48/x
  3. Step 3: Cross multiply
    646.04x = 966.90 × 530.48
  4. Step 4: Simplify right side
    646.04x = 512,921.11
  5. Step 5: Solve for x
    x = 512,921.11/646.04
  6. Step 6: Final answer
    x = 793.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.