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Finding the Fourth Proportional to 900.16, 1,349.76 and 530.11

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Solution

The fourth proportional to 900.16, 1,349.76 and 530.11 is: 794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.16 : 1,349.76 = 530.11 : x
  2. Step 2: Convert to fraction form
    900.16/1,349.76 = 530.11/x
  3. Step 3: Cross multiply
    900.16x = 1,349.76 × 530.11
  4. Step 4: Simplify right side
    900.16x = 715,521.27
  5. Step 5: Solve for x
    x = 715,521.27/900.16
  6. Step 6: Final answer
    x = 794.88

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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.