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Finding the Fourth Proportional to 1,303.17, 1,954.59 and 470.15

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Solution

The fourth proportional to 1,303.17, 1,954.59 and 470.15 is: 705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.17 : 1,954.59 = 470.15 : x
  2. Step 2: Convert to fraction form
    1,303.17/1,954.59 = 470.15/x
  3. Step 3: Cross multiply
    1,303.17x = 1,954.59 × 470.15
  4. Step 4: Simplify right side
    1,303.17x = 918,945.98
  5. Step 5: Solve for x
    x = 918,945.98/1,303.17
  6. Step 6: Final answer
    x = 705.16

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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.