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Finding the Fourth Proportional to 953.17, 1,314.53 and 705.11

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Solution

The fourth proportional to 953.17, 1,314.53 and 705.11 is: 972.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.17 : 1,314.53 = 705.11 : x
  2. Step 2: Convert to fraction form
    953.17/1,314.53 = 705.11/x
  3. Step 3: Cross multiply
    953.17x = 1,314.53 × 705.11
  4. Step 4: Simplify right side
    953.17x = 926,880.79
  5. Step 5: Solve for x
    x = 926,880.79/953.17
  6. Step 6: Final answer
    x = 972.42

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Double scale
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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.