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Finding the Fourth Proportional to 1,142.07, 1,576.46 and 670.13

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Solution

The fourth proportional to 1,142.07, 1,576.46 and 670.13 is: 925.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.07 : 1,576.46 = 670.13 : x
  2. Step 2: Convert to fraction form
    1,142.07/1,576.46 = 670.13/x
  3. Step 3: Cross multiply
    1,142.07x = 1,576.46 × 670.13
  4. Step 4: Simplify right side
    1,142.07x = 1,056,421.91
  5. Step 5: Solve for x
    x = 1,056,421.91/1,142.07
  6. Step 6: Final answer
    x = 925.01

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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.