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Finding the Fourth Proportional to 1,046.65, 1,570.36 and 430.40

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Solution

The fourth proportional to 1,046.65, 1,570.36 and 430.40 is: 645.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.65 : 1,570.36 = 430.40 : x
  2. Step 2: Convert to fraction form
    1,046.65/1,570.36 = 430.40/x
  3. Step 3: Cross multiply
    1,046.65x = 1,570.36 × 430.40
  4. Step 4: Simplify right side
    1,046.65x = 675,886.60
  5. Step 5: Solve for x
    x = 675,886.60/1,046.65
  6. Step 6: Final answer
    x = 645.76

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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.