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Finding the Fourth Proportional to 915.04, 1,262.20 and 565.64

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Solution

The fourth proportional to 915.04, 1,262.20 and 565.64 is: 780.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.04 : 1,262.20 = 565.64 : x
  2. Step 2: Convert to fraction form
    915.04/1,262.20 = 565.64/x
  3. Step 3: Cross multiply
    915.04x = 1,262.20 × 565.64
  4. Step 4: Simplify right side
    915.04x = 713,950.81
  5. Step 5: Solve for x
    x = 713,950.81/915.04
  6. Step 6: Final answer
    x = 780.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.