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Finding the Fourth Proportional to 1,022.38, 1,410.68 and 707.13

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Solution

The fourth proportional to 1,022.38, 1,410.68 and 707.13 is: 975.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.38 : 1,410.68 = 707.13 : x
  2. Step 2: Convert to fraction form
    1,022.38/1,410.68 = 707.13/x
  3. Step 3: Cross multiply
    1,022.38x = 1,410.68 × 707.13
  4. Step 4: Simplify right side
    1,022.38x = 997,535.92
  5. Step 5: Solve for x
    x = 997,535.92/1,022.38
  6. Step 6: Final answer
    x = 975.70

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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.