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Finding the Fourth Proportional to 1,570.40, 2,355.66 and 474.76

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Solution

The fourth proportional to 1,570.40, 2,355.66 and 474.76 is: 712.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.40 : 2,355.66 = 474.76 : x
  2. Step 2: Convert to fraction form
    1,570.40/2,355.66 = 474.76/x
  3. Step 3: Cross multiply
    1,570.40x = 2,355.66 × 474.76
  4. Step 4: Simplify right side
    1,570.40x = 1,118,373.14
  5. Step 5: Solve for x
    x = 1,118,373.14/1,570.40
  6. Step 6: Final answer
    x = 712.16

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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.