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Finding the Fourth Proportional to 934.90, 1,312.10 and 934.90

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Solution

The fourth proportional to 934.90, 1,312.10 and 934.90 is: 1,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.90 : 1,312.10 = 934.90 : x
  2. Step 2: Convert to fraction form
    934.90/1,312.10 = 934.90/x
  3. Step 3: Cross multiply
    934.90x = 1,312.10 × 934.90
  4. Step 4: Simplify right side
    934.90x = 1,226,682.29
  5. Step 5: Solve for x
    x = 1,226,682.29/934.90
  6. Step 6: Final answer
    x = 1,312.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.