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Finding the Fourth Proportional to 1,047.53, 1,570.64 and 354.13

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Solution

The fourth proportional to 1,047.53, 1,570.64 and 354.13 is: 530.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.53 : 1,570.64 = 354.13 : x
  2. Step 2: Convert to fraction form
    1,047.53/1,570.64 = 354.13/x
  3. Step 3: Cross multiply
    1,047.53x = 1,570.64 × 354.13
  4. Step 4: Simplify right side
    1,047.53x = 556,207.70
  5. Step 5: Solve for x
    x = 556,207.70/1,047.53
  6. Step 6: Final answer
    x = 530.97

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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.