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Finding the Fourth Proportional to 1,178.32, 1,627.38 and 915.94

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Solution

The fourth proportional to 1,178.32, 1,627.38 and 915.94 is: 1,265.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.32 : 1,627.38 = 915.94 : x
  2. Step 2: Convert to fraction form
    1,178.32/1,627.38 = 915.94/x
  3. Step 3: Cross multiply
    1,178.32x = 1,627.38 × 915.94
  4. Step 4: Simplify right side
    1,178.32x = 1,490,582.44
  5. Step 5: Solve for x
    x = 1,490,582.44/1,178.32
  6. Step 6: Final answer
    x = 1,265.01

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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.