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Finding the Fourth Proportional to 1,079.30, 1,488.65 and 705.68

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Solution

The fourth proportional to 1,079.30, 1,488.65 and 705.68 is: 973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.30 : 1,488.65 = 705.68 : x
  2. Step 2: Convert to fraction form
    1,079.30/1,488.65 = 705.68/x
  3. Step 3: Cross multiply
    1,079.30x = 1,488.65 × 705.68
  4. Step 4: Simplify right side
    1,079.30x = 1,050,507.00
  5. Step 5: Solve for x
    x = 1,050,507.00/1,079.30
  6. Step 6: Final answer
    x = 973.32

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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.