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Finding the Fourth Proportional to 970.13, 1,452.88 and 530.73

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Solution

The fourth proportional to 970.13, 1,452.88 and 530.73 is: 794.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.13 : 1,452.88 = 530.73 : x
  2. Step 2: Convert to fraction form
    970.13/1,452.88 = 530.73/x
  3. Step 3: Cross multiply
    970.13x = 1,452.88 × 530.73
  4. Step 4: Simplify right side
    970.13x = 771,077.08
  5. Step 5: Solve for x
    x = 771,077.08/970.13
  6. Step 6: Final answer
    x = 794.82

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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.