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Finding the Fourth Proportional to 1,315.58, 1,815.14 and 895.18

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Solution

The fourth proportional to 1,315.58, 1,815.14 and 895.18 is: 1,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.58 : 1,815.14 = 895.18 : x
  2. Step 2: Convert to fraction form
    1,315.58/1,815.14 = 895.18/x
  3. Step 3: Cross multiply
    1,315.58x = 1,815.14 × 895.18
  4. Step 4: Simplify right side
    1,315.58x = 1,624,877.03
  5. Step 5: Solve for x
    x = 1,624,877.03/1,315.58
  6. Step 6: Final answer
    x = 1,235.10

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1.5x scale

Why These Related Problems?

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