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Finding the Fourth Proportional to 786.77, 1,085.71 and 437.45

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Solution

The fourth proportional to 786.77, 1,085.71 and 437.45 is: 603.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.77 : 1,085.71 = 437.45 : x
  2. Step 2: Convert to fraction form
    786.77/1,085.71 = 437.45/x
  3. Step 3: Cross multiply
    786.77x = 1,085.71 × 437.45
  4. Step 4: Simplify right side
    786.77x = 474,937.32
  5. Step 5: Solve for x
    x = 474,937.32/786.77
  6. Step 6: Final answer
    x = 603.66

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.