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Finding the Fourth Proportional to 1,046.48, 1,570.13 and 468.95

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Solution

The fourth proportional to 1,046.48, 1,570.13 and 468.95 is: 703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.48 : 1,570.13 = 468.95 : x
  2. Step 2: Convert to fraction form
    1,046.48/1,570.13 = 468.95/x
  3. Step 3: Cross multiply
    1,046.48x = 1,570.13 × 468.95
  4. Step 4: Simplify right side
    1,046.48x = 736,302.27
  5. Step 5: Solve for x
    x = 736,302.27/1,046.48
  6. Step 6: Final answer
    x = 703.60

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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.