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Finding the Fourth Proportional to 1,475.70, 2,214.35 and 654.10

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Solution

The fourth proportional to 1,475.70, 2,214.35 and 654.10 is: 981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.70 : 2,214.35 = 654.10 : x
  2. Step 2: Convert to fraction form
    1,475.70/2,214.35 = 654.10/x
  3. Step 3: Cross multiply
    1,475.70x = 2,214.35 × 654.10
  4. Step 4: Simplify right side
    1,475.70x = 1,448,406.34
  5. Step 5: Solve for x
    x = 1,448,406.34/1,475.70
  6. Step 6: Final answer
    x = 981.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.