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Finding the Fourth Proportional to 1,315.10, 1,972.87 and 584.64

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Solution

The fourth proportional to 1,315.10, 1,972.87 and 584.64 is: 877.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.10 : 1,972.87 = 584.64 : x
  2. Step 2: Convert to fraction form
    1,315.10/1,972.87 = 584.64/x
  3. Step 3: Cross multiply
    1,315.10x = 1,972.87 × 584.64
  4. Step 4: Simplify right side
    1,315.10x = 1,153,417.26
  5. Step 5: Solve for x
    x = 1,153,417.26/1,315.10
  6. Step 6: Final answer
    x = 877.06

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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.