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Finding the Fourth Proportional to 1,047.10, 1,570.68 and 430.78

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Solution

The fourth proportional to 1,047.10, 1,570.68 and 430.78 is: 646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.10 : 1,570.68 = 430.78 : x
  2. Step 2: Convert to fraction form
    1,047.10/1,570.68 = 430.78/x
  3. Step 3: Cross multiply
    1,047.10x = 1,570.68 × 430.78
  4. Step 4: Simplify right side
    1,047.10x = 676,617.53
  5. Step 5: Solve for x
    x = 676,617.53/1,047.10
  6. Step 6: Final answer
    x = 646.18

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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.