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Finding the Fourth Proportional to 1,303.10, 1,798.28 and 705.60

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Solution

The fourth proportional to 1,303.10, 1,798.28 and 705.60 is: 973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.10 : 1,798.28 = 705.60 : x
  2. Step 2: Convert to fraction form
    1,303.10/1,798.28 = 705.60/x
  3. Step 3: Cross multiply
    1,303.10x = 1,798.28 × 705.60
  4. Step 4: Simplify right side
    1,303.10x = 1,268,872.83
  5. Step 5: Solve for x
    x = 1,268,872.83/1,303.10
  6. Step 6: Final answer
    x = 973.73

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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.